a rectangle and an equilateral triangle have the same perimeter the length of the rectangle is 4 times its width the length of each side of the triangle is 55 centimeters what is the length,in centimeter of the triangle

1 answer

rectangle:
width -- x
length -- 4x
perimeter of rectangle = 2x + 8x = 10x

perimeter of triangle = 3(55) = 165

so 10x = 165
x = 16.5

then length of rectangle = 4x = 4(16.5) = 66