The perimeter of a rectangular swimming pool is 110 feet. The width of the pool is 9 feet more than the length. Find the

length and the width.

width = (x + 9) ft

P = 110ft

P = 2l + 2w

110 = 2 (x + x + 9)

110 = 2 (2x+9)

110 = 4x + 18

110-18 = 4x + 18-18

92=4x = x = 23 therefore, length is = 23

4 4

width

P = 2l + 2w

110 = 2 (23) + 2w

110 = 46 + 2w

110 - 46 = 46 - 46 + 2w

64=2w = w = 32 therefore, width is = 32

2 2

Step-by-step explanation:

1. write the formula of perimeter of a rectangle.

2. replace p by 110, and w by x + 9 since width is 9 more than the length.

3. do what is inside the bracket first.

4. after adding both x, multiply what's inside the bracket by the 2.

5. do subtraction.

6. divide both sides by 4 to get the variable itself or the length.

7. after that, write down the formula again and replace the length by 23, then multiply it by the 2.

8. do subtraction.

9. divide both sides by 2 to get the variable itself or the width.

you can subtract the 23 from the 32 to check if the width is 9 more than the length.

Step-by-step explanation:

4W=32

W=32/4

W=8 ANS. FOR THE WIDTH.

PROOF:

42=2 (8+5) + 2*8

42=2*13+16

42=26+16

42=42