How do I solve this Problem? With work please! Thanks!

Question

A swimming pool 3 m by 6 m is surrounded by a square lawn. The lawn are is seven times the area of the pool. Find the dimensions of the lawn.

Answer 1

The area of the pool is 3 x 6 = 18 square meters.

The area of the lawn only is 18 x 7 = 126 square meters.

The area of both the lawn and pool is 18 + 126 = 144 square meters.

Because the lawn (including the pool) is square, you take the square root of the total area to get the length of each side. The square root of 144 = 12.

The lawn is 12 meters by 12 meters.

Answer 2

First, find the area of the swimming pool. Area is length x width. 3 x 6 = 18, so the area of the pool is 18 m².

Now, find the area of the grass. You are told it is 7 times the area of the pool 18 x 7 = 126, so the area of the lawn is 126 m².

Area is still length x width, but because the lawn is a square, the length and width are the same. So, divide the area of the lawn by 2 to get the length of one side. 126/2 = 63. So the dimensions of the lawn are 63 m by 63 m.