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

Answer:

Mr. Drew needs 167.3 ft of wood

Step-by-step 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

$b=\sqrt{70}\ ft$

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

$P=5(4(\sqrt{70}))=167.3\ ft$

therefore

Mr. Drew needs 167.3 ft of wood