Question 282202
The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why?

The equalateral triangle has equal sides so each side has length 45/3 = 15.

If w is the width of the rectangle and 3w is the length then the perimeter is:

2*w + 2*(3w) = 48
8*w = 48
w = 6

The length is 3*w = 3*6 = 18 so the rectangle's length is the longest side of the two figures.