Question

Whats the answer to this

Answer 1

16 Units.

Explanation:

Given:

• AC = 2 (x-3)
• BD = x + 5

THIS CASE ⇒ AC = BD

⇒ Substitute the values

2 (x - 3) = x + 5

⇒ Clear the value of x

2x - 6 = x + 5

2x - x = 5 + 6

x = 11

⇒ Substitute the value of x in any of the equations

11 + 5 = 16

⇒ Length of each diagonal is 16 units.

Answer 2

AC = 22

BD = 22

Explanation:

The diagonals of a rectangle are equal in length.

⇒ AC = BD

⇒ 2(x - 4) = x + 7

⇒ 2x - 8 = x + 7

⇒ 2x - x = 7 + 8

⇒ x = 15

Substitute found value of x into the expressions for AC and BD:

AC = 2(x - 4)

= 2(15 - 4)

= 2(11)

= 22

BD = x + 7

= 15 + 7

= 22