Question

Use the information to find the length of CD in parallelogram ABCD.

The perimeter is 92 cm. AD is 7 cm more than twice AB. (Hint: Sketch the diagram.)

Answer 1

AD is 7 cm more than twice of AB so you could put it as 2x+7 whereas AB is x. Next, you know the perimeter is 92 so (2x+7)+(2x+7)+(x)+(x)=92.
Combine like equations and simplify
6x+14=92
6x=78
x=13
From this you know that AB is 13.
Multiply this by 2 and add 7, you get AD which is 33