The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the side of the triangle is 8 more than the width of the rectangle. Which statements about this scenario are true if we use the variable w to represent the width of the rectangle?

Question

Castillo

Mathematics

24 October, 09:01

The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the side of the triangle is 8 more than the width of the rectangle. Which statements about this scenario are true if we use the variable w to represent the width of the rectangle?

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Rory · Answer 1

The perimeter of triangle is 3 (w+8) = 3w + 24

The perimeter of rectangle is w+w+2w+2w = 6w

Set them equal to solve for w:

6w = 3w + 24

3w = 24

w = 8