Question

Nick and Lisa are building a square pond in their backyard. They wish to put a 2-foot wide brick boarder around the outside. If the total area of the boarder and the pond is 196 square feet, find the length of the side of the pond.

a) 6 feet

b) 10 feet

c) 16 feet

d) 18feet

Answer 1

Let, the length of the side of the pond be x feet.

Then, the length of one side of the pond with brick border is (x+4).

Given that, (x+4)^2 = 196

or, (x+4) = 14

or, x = 10

Therefore, the length of the pond is 19 feet.