A square pool has a side length of x feet. a uniform border around the pool is 1 foot wide. the total area of the pool and the b

Question

iris [78.8K]

4 years ago

6

A square pool has a side length of x feet. a uniform border around the pool is 1 foot wide. the total area of the pool and the b

order is 361 square feet. what is the area of the pool?

Mathematics

1 answer:

Alex73 [517] · Answer 1 · 2022-01-11T22:45:59+03:00

----------------------------------------
Define x:
----------------------------------------
Let x be the length of the pool.

Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2

----------------------------------------
Given area = 361 ft², find x:
----------------------------------------
(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17

----------------------------------------
Find Length of the pool:
----------------------------------------
Length of the pool = x = 17 feet

----------------------------------------
Find Area of the pool:
----------------------------------------
Area = 17 x 17
Area = 289 ft²

------------------------------------------------------------
Answer: Area of the pool = 289 ft²
------------------------------------------------------------