Question

A rectangular sandbox has a width that's 1⁄4 of its length. The total area of the sandbox is 36 square feet. Find the dimensions of the sandbox

Answer 1

Answer:

Dimensions of box

Length is 12 feet

Width is 3 feet

Step-by-step explanation:

Let's assume length of sandbox is L

width of box is W

we are given

A rectangular sandbox has a width that's 1⁄4 of its length

so, we can write as

$W=\frac{1}{4}L$

we know that

area = length*width

so, we get

$A=L\times W$

now, we can plug back W

$A=L\times \frac{1}{4}L$

we can set Area=36

$36=L\times \frac{1}{4}L$

now, we can solve for L

$L^2=144$

$L=12$

now, we can find W

$W=\frac{1}{4}\times 12$

$W=3$

So, dimensions of box

Length is 12 feet

Width is 3 feet