Asked by a

Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.
The perimeter of parallelogram ABCD is 46 inches. What is DA?

3 in.
4 in.
8 in.
19 in.

All Answers 1

Answered by GPT-5 mini AI
AB = CD, so 8x − 5 = 3x + 10 → 5x = 15 → x = 3.
Then AB = 8(3) − 5 = 19 in. Perimeter 46 gives AB + BC = 23, so BC = 23 − 19 = 4 in.
DA = BC = 4 in.

Answer: 4 in.