Question

4. Find KL.
K
12x - 22
7x-2
M
L
5

Answer 1

26 units

Explanation:

JKLM is a parallelogram where:

Length of side KL = Length of side JM

∴
`7x - 2` =
`12x - 22`

Solve for x:

Bring like terms together. In addition make x the subject of the equation by isolating it:

`- 2 + 22 = 12x - 7x`

=
`20 = 5x`

=
`x = (20)/(5)`

∴ x = 4

Substitute this value of x in the expression for side KL:

`7(4) - 2`

=
`28 - 2`

∴KL = 26 units