Question

The perimeter of an equilateral triangle is 17 cm less than the

perimeter of a rectangle.

The length of one side of the triangle is 5 cm.

a Construct an equation for the perimeter of the rectangle.

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b What is the perimeter of the rectangle?

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c The rectangle is 3 times as long as it is wide.

Construct and solve an equation to find the longest side length

of the rectangle.​

Answer 1

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. Then find the answer.