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?

Respuesta :

Answer:

Mr. Drew needs 167.3 ft of wood

Step-by-step explanation:

we know that

The area of a square is

[tex]A=b^{2}[/tex]

where

b is the length side of the square

we have

[tex]A=70\ ft^2[/tex]

substitute in the formula and solve for b

[tex]70=b^{2}[/tex]

square root both sides

[tex]b=\sqrt{70}\ ft[/tex]

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

[tex]P=5(4b)[/tex]

substitute the value of b

[tex]P=5(4(\sqrt{70}))=167.3\ ft[/tex]

therefore

Mr. Drew needs 167.3 ft of wood