Math - Area Question

Question

Drew wants to build a square sandbox with an area of

196

square feet. What is the total length of wood

Mrs

Drew needs to make the sides of the​ sandbox?

Answer 1

Hello Joseph,

The question asks for the total length of wood. In other words, you're asked to find the perimeter of the square box.

If every side of a square has length s, the perimeter of a square is P = 4s

How do we find s in the 1st place? You're given the area of the square box: 196 square feet.

Formula for area of a square: A = s². So 196 = s². If you solve that equation by taking the square root on both sides, you get 14 = s, so the square has sides that are 14 feet long.

Plug that answer into the formula for the perimeter to answer the original question: P = 4*14 = 56 feet.

The total length of wood Mrs. Drew needs to make the sides of the​ sandbox is 56 feet.