Question

Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 70 ft squared . To the nearest​ tenth, what is the total length of wood Mr. Drew needs to make the sides of the​ sandbox?

Answer 1

Mr. Drew needs 167.3 ft of wood

Explanation:

we know that

The area of a square is

`A=b^(2)`

where

b is the length side of the square

we have

`A=70\ ft^2`

substitute in the formula and solve for b

`70=b^(2)`

square root both sides

`b=√(70)\ ft`

To determine the total length of wood , calculate the perimeter of the sandbox

The perimeter of the sandbox is equal to the perimeter of 5 squares

so

`P=5(4b)`

substitute the value of b

`P=5(4(√(70)))=167.3\ ft`

therefore

Mr. Drew needs 167.3 ft of wood