The length of a rectangle is two more than three times it’s width. If the perimeter of the rectangle is 92 meters, find the dimensions

Answer 1

Hello Mitchell,

Let x = the length of the rectangle; and y = the width of the rectangle.

The first sentence translates to the following equation: x = 3y+2 (equation 1)

Since the perimeter of a rectangle is twice the sum of its length and width, the second sentence translates to:

2(x+y)=92 (equation 2)

Substitute equation 1 into equation 2, solve for y (width) and then substitute value of y into equation 1 and solve for x (length)

Good luck, hope this helps.