Question

Use the given information to find the lengths of all four sides of parallelogram ABCD:

The perimeter is 92 cm. AD is 7cm more than twice AB

Answer 1

A parallelogram is a shape with 4 sides where the 2 opposite sides are congruent or has the same measurements. The perimeter of a parallelogram is expressed as:

P = 2l + 2w

We take AD as the length, l, and AB as the width, w.

92 = 2(2w + 7) + 2w
92 = 4w + 14 + 2w
78 = 6w
w = 13 cm
l = 2w+7 = 33 cm