The Goode family built a rectangular swimming pool in their backyard. The floor of the pool has an area of #485 5/8# square feet. If the width of the pool is #18 1/2# feet, what is the length of the pool?

Question

Sadie Allen · Accepted Answer

Length of the pool is # 26 1/4# ft.

Area of rectangle of length #(x)# and width#(y)# is #A=x*y ; A= 485 5/8= 3885/8# sq.ft ,#y=18 1/2= 37/2# ft #:. x=A/y or x= (3885/8)-:(37/2) or x=3885/8*2/37# or #x=105/4 =26 1/4# ft. Length of the pool is # 26 1/4# ft. [Ans]

Sophia Alfred · Answer

undefined To find the length of the pool, we can use the formula for the area of a rectangle:

$$ \text{Area} = \text{Length} \times \text{Width} $$

Given that the area of the pool's floor is $ 485 \frac{5}{8} $ square feet and the width is $ 18 \frac{1}{2} $ feet, we can substitute these values into the formula to solve for the length.

$$ \text{Length} \times 18 \frac{1}{2} = 485 \frac{5}{8} $$

To solve for the length, divide both sides by $ 18 \frac{1}{2} $.

$$ \text{Length} = \frac{485 \frac{5}{8}}{18 \frac{1}{2}} $$

$$ \text{Length} \approx \frac{485.625}{18.5} $$

$$ \text{Length} \approx 26.25 $$

Therefore, the length of the pool is approximately 26.25 feet.