The side of an equilateral triangle is 7 inches shorter than the side of a square. The perimeter of the square is 43 inches more than the perimeter of the triangle. Find the length of a side of the triangle.
A) 22 inches
B) 24 inches
C) 15 inches
D) 21 inches

Question

Quizplus · Accepted Answer

The side of the triangle is $x$ inches, so the side of the square is $x + 7$ inches. The perimeter of the square is $4(x + 7)$ and the perimeter of the triangle is $3x$. The equation is $4(x + 7) = 3x + 43$. Solving for $x$ gives $x = 15$ inches.

The Side of an Equilateral Triangle Is 7 Inches Shorter