Question

The perimeter of a square is four times the perimeter of an equilateral triangle. If the side length of the square is 5n + 2 , and the side length of the triangle is 2n-1, the value of n is

A=3.5
B=5
C=1
D=2

Answer 1

Explanation:

perimeter of the SQUARE = FOUR X (5n+2) = 4(5n+2)

Perimeter of the triangle THREE X 2n-1 = 3(2n-1)

and the square perimeter is FOUR times the triangle :

4 ( 5n+2) = FOUR x 3 (2n-1) <=====solve for 'n'

20 n + 8 = 24n -12

20 = 4n

n = 5