Two square rooms have total floor area of 89cm².One room is 3m longer each way than the other,Find the dimension of the two rooms

Answers

Answer 1

Answer:

5 m

8 m

Step-by-step explanation:

Area of square = s² ; s = side length

Let the area of each room equal to x and y

x + y = 89cm²

If x = smaller room

y = x + 3 in dimension

Hence,

x² + (x + 3)² = 89

(x +3)(x +3) = x² + 3x + 3x + 9

x² + x² + 3x + 3x + 9 = 89

2x² + 6x + 9 = 89

2x² + 6x - 80 = 0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8) = 0

x + 8 = 0 ;

x - 5 = 0

x = - 8 or x = 5

Dimension can't be negative :

So, x = 5

Samller square = x = 5

Larger square = x + 3 = 5 + 3 = 8


Related Questions

It rained 0.8 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?

Answers

ion even kno, i’m just doin this so i can get help

0.19, 0.55, 0.593,0.5 in descending order

Answers

Answer:

0.593,0.55,0.5,0.19

Step-by-step explanation:

Which problem can be solved using 3 x 7= 21?

Answers

Answer:

2nd one

Step-by-step explanation:

phil has 3 tables with 21 balloons on each

D would be the answer to solve 3x7=21. A is adding 21 with 3 and B is multiplying 3 and 21 witch isn’t what we’re looking for. Then for C, it would be subtracting 22 by 3. D is the only one witch said that Phil has 21 balloons and he put the same number of ballon on 3 tables. This way they can divide 21 with 3 and gives the quotient of 7. So D would be the best answer t solve he problem 3x7=21.

What is the distance between the following points:

A (25, 20) , B (5, 20)

Answers

Answer:

Distance is 20 units

Step-by-step explanation:

;)

Rebecca is investigating the equation 1 - 1/3 * (12x + k) = - 4x + 1 is an integer in the Interval - 5 <= k <= 5 She states that there are cases when the equation hasinfinitely many solutions for x and cases where the equation has no solution forx. Complete the table by identifying one value of each case to occur.

Answers

Step-by-step explanation:

2y she stated that she was going how much

Answer:

Infinitely many solutions = 2

No solutions = None

what is the math problem to 35= 3.5s

Answers

Answer:

35=3.5s =40 4.5s

Step-by-step explanation:

tell me if I'm wrong.

Can you form a right triangle with the three lengths given? Why or why not?

7 in., 24 in., 25 in.


yes; 7 + 24 = 25

no; 72 + 242 ≠ 252

no; 7 + 24 ≠ 25

yes; 72 + 242 = 252

Answers

Answer:

Yes, 7^2+24^2=25^2

Step-by-step explanation:

If a right triangle then:

is 7^2+24^2=25^2

rewritten: 49+576=625 then yes

Give the value of each expression.
7.1- 3.35=___
5/8 + 2/3 - 1/8 =___
6- 2 & 1/2=___
8.9- 4 & 2/5

Answers

Answer:

1. 3.75

2. 7/6

3. 7/2 / mixed number 3 and 1/2

4. 4.5

On tuesday there were 23 students absent from school. The total number of students at school that day was 372 students. How many students attend the school.

Answers

Answer: The number of students attend the school = 349

Step-by-step explanation:

Given: Number of students absent on Tuesday = 23

Total number of students = 372

Number of students attend the school that day = (total students) -  (Number of students absent  )

= 372-23

= 349

Hence, the number of students attend the school that day = 349

2.05×5 with shown work​

Answers

Answer:

10.25

Step-by-step explanation:

205 × 5 = 1025

2.05 has 2 decimal places

5 has 0 decimal places

Therefore, the answer has 2 decimal places

1025

10.25

At 50 years old, Margie gets her first job that requires 3% pre-tax income deposits to Social Security. Margie makes $35,000 a year. Assuming she retires at 62, and Social Security offers a 2.5% rate to offset inflation, what will be the balance of Margie's Social Security when she retires?

Answers

Answer:

$14,847.46

Step-by-step explanation:

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

A. 2.25

Step-by-step explanation:

-3x + 10 = 5x - 8 (Given)

10 = 8x - 8 (Added 3x on both sides)

18 = 8x (Added 8 on both sides)

2.25 = x (Divided 8 on both sides)

What is the base in the expression 4⁵?
1.4
2.5
3.9
4.20​

Answers

Answer:

1.4

Step-by-step explanation:

base is 4 option 1 is correct

4 is correct that is it

a. 25 - 3x = 40, х =

Answers

Answer:

x=-5

Step-by-step explanation:

25-3x=40

-3x=40-25  (both side -25)

-3x=15 (both side divide by 3)

x=5

In a basketball game, Alison made 6 of 13 free shots.
Madhu made 5 of 9 free shots. Who played better? Explain.

Answers

Answer:

Madhu played better.

Step-by-step explanation:

Change both fractions to where they have the same denominator to see which one is bigger. The smallest possible denominator between the two fractions is 117.  

To get the 13 in 6/13 to become 117, you had to multiply it by 9. Whatever you do to the denominator, you must do to the numerator.

6 x 9 = 54.

Allison's fraction is now 54/117.

To get the 9 in 5/9 to become 117, you had to multiply the 9 by 13. Whatever you do to the denominator, you must do to the numerator.

5 x 13 = 65

Madhu's fraction is now 65/117

By looking, 65 is larger than 54, so Madhu had a larger number of shots compared to shots not made than Allison.

2y - 7+ 5y = 0
Step by step work

Answers

Answer:

y=1

Step-by-step explanation:

2y+5y-7=0

Combine y: 7y-7=0

Move 7 over: 7y=7

Divide by 7:y=1

ASAP
3x - 18=0
options:
x= -6
X=6

Answers

Answer:

21

Step-by-step explanation:

I think the correct answer is X=6

Mr. Suarez orders a cube of clay for his art class. The height of the cube is 12 inches. Write and simplify an exponential expression to find how much clay Mr. Suarez ordered. show work

Answers

Answer:

1728 inches Total

Step-by-step explanation:

Cubes have the same height width and depth therefore the Question is 12 X 12 X 12, 12 X 12 = 144 X 12 = 1728.

Help me with this pls

Answers

answer:f60 and 40

Step-by-step explanation:

a line is a 180 degree angle there's 80 already there and then 60 plus 40 is a hundred

x=20

3 times 20 equals 60

2 times 20 equals 40

60+40+80= 180

5/6 -2/9 in simplest form

Answers

Answer:

56 is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

The answer is 11/18

The Meyer family spent $65 on dinner and left a 20% tip. What was the total cost of their meal?
A.$85

B.$78

C.$67

D.$13

Answers

The answer is D.$13.

Question in the picture. Thanks

Answers

Answer:

x=100

Step-by-step explanation:

Simply multiply the 1/5 by 20 to get x, since 5*20, you get 100.

x=100
Step-by-step explanation

please help me please will give brainliest to anyone who is right ​

Answers

Answer:

C

Step-by-step explanation:

you have a total of 18 data values which means you have to find the average of the 9th and 10th values; these values would be in the 3000 - 5999 because this interval contains data values 5 through 10

x+2y=6 5x+3y=2
solve using elimination
express your answer as a coordinate

Answers

Answer:

(-2,4)

Hope this helps

At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.

Answers

Answer:

in all he hit the target 50 times

Step-by-step explanation:

first week he hits 5

second week hits 15=5x3

third week hits 30=15x2

The number of times he hit the target in three weeks is 50.

Definition of a numerical expression

A numerical expression is a mathematical statement that consist of integers joined together by operation symbols. Examples of operation symbols are addition, subtraction, multiplication and division. An example of a numerical expression is 5 + 3.

Numerical expressions that represent the number of times the ball was hitNumber of times the ball hit the target in the first week = 5 times Number of times the ball hit the target in the second week = 5 x 3 = 15 Number of times the ball hit the target in the third week = 15 x 2 = 30

Total sum = 30 + 15 + 5 = 50 times

To learn more about numerical expressions, please check: https://brainly.com/question/787279

Zac has a fair coin and a six-sided number cube with a number, 1 through 6, on each side. He flips the coin and rolls the number cube. What is the probability that the coin shows tails, and the number cube is more than 2?​

Answers

Answer:

1/3

Step-by-step explanation:

1/2 * 4/6 = 1/2 * 2/3 = 1/3

thank, 5 star, and brainliest if helpful!

The price of a cell phone was marked down by $35. The original price of the cell phone was $212. What was the percentage rate of the discount

Answers

Given:

The price of a cell phone was marked down by $35.

The original price of the cell phone was $212.

To find:

The percentage rate of the discount.

Solution:

We have,

Price marked down by= $35

Original price = $212

Now, the percentage rate of the discount is

[tex]Discount\%=\dfrac{\text{Price marked down by}}{\text{Original price}}\times 100[/tex]

[tex]Discount\%=\dfrac{35}{212}\times 100[/tex]

[tex]Discount\%=\dfrac{3500}{212}[/tex]

[tex]Discount\%=16.509434[/tex]

[tex]Discount\%\approx 16.51[/tex]

Therefore, the rate of discount in percentage is 16.51%.

What is the image point of (0, -1) after a translation left 5 units and down 1 unit?

Answers

Answer:

(-5, -2)

Step-by-step explanation:

please help me please will give brainliest ​

Answers

Answer:

C

Step-by-step explanation:

For every 3 batteries, we see 2 hours of usage, look at the point (3, 2)

Thank, 5 star, and brainliest if helpful

Answer:

C: For Every Increase In Three Hours Of Usage Jimmy Had To Use Two More batteries

Step-by-step explanation:

Solve the system of equations.
- 5y + 3x = 3
- 8y + 9x = -12

Answers

Point from:

(-4, -3)

Equation Form:

x = -4, y = -3

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