Question

1.4.PS-14 Question Help Mr. Drew wants to build a square sandbox with an area of 196 square feet. What is the total length of wood Mr. Drew needs to make the sides of the sandbox? feet of wood. He needs to buy (Simplify your answer.)

Answer 1

The area of the square sandbox must be 196 square feet.

So we want to recall the formula for the area of a square of side "L".

The area of the square is the product of the length of its side (L) times itself, which makes this:

`\text{Area}=L\cdot L=L^2`

Then we set up an equation that states that the area of the square is 196 square feet, using the expression we have for the area in terms of the side length (L):

`\begin{gathered} \text{Area}=196 \\ L^2=196 \end{gathered}`

And now we solve for the length L, by using the square root property:

`\begin{gathered} L^2=196 \\ L=√(196) \\ L=14 \end{gathered}`

Therefore, if the area is 196 square feet, the length of the sides of the sandbox must be 14 feet

Then, the person needs to by 4 times 14 ft because the sandbox (square) has 4 sides,

That is: Mr Drew needs to buy 4 times 14 feet of wood, which gives a total of: 56 feet of wood.