Question

A rectangle has a length of x+7 cm and a width of x cm. The perimeter of the rectangle is 70 cm. What is the value of x?

Answer 1

x = 14

Explanation:

You can find the perimeter of a rectangle by adding up all the sides. Keep in mind that opposite sides in a rectangle are congruent, which means that the perimeter of a rectangle is essentially 2*length + 2*width. We know the perimeter is 70, the length is x+7, and the width is x, so we can set up the equation to solve for x:

2(x + 7) + 2x = 70

2x + 14 + 2x = 70

4x = 56

x = 14