Question

The sides of parallelogram ABCD are represented as shown.

Solve for DA. Solve for x.

Answer 1

x = 10

DA = 24

Explanation:

In parallelogram, opposite sides are parallel and equal.

CD = AB

5x - 18 = 2x + 12

Solve for x,

• Add 18 to both sides,

5x = 2x + 12 + 18

5x = 2x + 30

• Subtract 2x from both sides,

5x - 2x = 30

3x = 30

• Divide both sides by 3,

x = 30 ÷ 3

`\boxed{\bf x = 10}`

Substitute the value of x and find BC.

BC = 3x - 6

= 3*10 - 6

= 30 - 6

= 24

As opposite sides of parallelogram are equal,

DA = BC

`\boxed{\bf DA = 24}`