Question

The perimeter of the parallelogram ABCD is 30 cm. AD 3 cm more than twice AB. Find the length of AB.

A) 3 cm
B) 4 cm
C) 9 cm
D) 11 cm
Can someone explain step by step plz??? I have seen someone answer this but they where confusing

Answer 1

i think its c?

Step-by-step explanation:

Answer 2

Option B.

Step-by-step explanation:

It is given that the perimeter of the parallelogram ABCD is 30 cm.

Let measure of AB is x cm.

AD 3 cm more than twice AB.

AD = 2x + 3

Perimeter of ABCD is

`Perimeter=2(AB+AD)`

`30=2(x+2x+3)`

`30=2(3x+3)`

`30=6x+6`

`30-6=6x`

`24=6x`

Divide both sides by 6.

`4=x`

The measure of AB is 4 cm.

Hence, the correct option is B.