MATH SOLVE

3 months ago

Q:
# A square has side lengths of 2x inches. An equilateral triangle has side lengths of (2x+1/3) inches. If the square and the triangle have the same perimeter, what is the value of x?

Accepted Solution

A:

Size square × 4 = size triangle × 3

(2X × 4 ) = [(2X +1/3) × 3]

8X = [(6X+1)/3×3]

8X = 6X+1

8X -6X = 1

2X = 1

X= 1/2

(2X × 4 ) = [(2X +1/3) × 3]

8X = [(6X+1)/3×3]

8X = 6X+1

8X -6X = 1

2X = 1

X= 1/2