Question

The perimeter of parallelogram ABCD is 78 cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.

Answer 1

AB = 10 CD = 10 AD = 29 BC = 29

Explanation:

I did the test

Hope this helps :)

Answer 2

AB = 10

CD = 10

AD = 29

BC = 29

Explanation:

perimeter = AD + BC + AB + CD

AD + BC + AB + CD = 78

Let AB = x

Opposite sides of a parallelogram are congruent.

AB = CD = x

AD = BC = 2x + 9

2x + 9 + 2x + 9 + x + x = 78

6x + 18 = 78

6x = 60

x = 10

2x + 9 = 2(10) + 9 = 29

AB = 10

CD = 10

AD = 29

BC = 29