Question

the perimeter of an equilateral triangle is 8 inches more than the perimeter of a square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle

Answer 1

Answer:

An equilateral triangle has all 3 sides the same length

If one side of the triangle has length x, the perimeter = 3x

 

If one side of the square is 5 less than a side of the triangle

then the square has side length x-5 and perimeter 4(x-5) = 4x-20

 

Since the perimeter of the triangle is 7 more than

the perimeter of the square then our equation is:

 

3x = 4x-20+7

3x = 4x-13

x = 13

 

The sides of the triangle are 13 inches

The sides of the square are 13-5=8 inches