Question

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.

Answer 1

Answer:

4

Step-by-step explanation:

trust

Answer 2

The value of DA in parallelogram ABCD is 4 inches.

Parallelogram

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.

In parallelogram ABCD:

AB = DC, AD = BC

Hence:

8x - 5 = 3x + 10

5x = 15

x = 3 units

AB = 8(3) - 5 = 19 inches

Let y = AD = BC:

AB + BC + DC + AD = perimeter

19 + 19 + y + y = 46

y = 4 inches

The value of DA in parallelogram ABCD is 4 inches.

Find out more on parallelogram at: https://brainly.com/question/970600