Question

the length of a rectangle is three times it’s width. if the area of the rectangle is 300 yd^2, find its perimeter.

Answer 1

80 yards

Explanation:

Using the area formula, A = lw, set up an equation where w represents the width.

The length can be represented by 3w because it is 3 times the width:

A = lw

300 = (3w)(w)

300 = 3w²

Solve for w:

300 = 3w²

100 = w²

10 = w

So, the width is 10 yards.

The length will be 30 yards since the length is 3 times the width.

Then, add the lengths and widths together to find the perimeter:

10 + 10 + 30 + 30

= 80

So, the perimeter is 80 yards