Question

Missing length?? Please help me out

Answer 1

The missing length is 12

Explanation:

Required

Determine the missing length (LS)

If RS = 28 and KS = 14

Then

`KR = RS - KS`

`KR = 28 - 14`

`KR = 14`

The sides of the given shape are directly proportional.

This implies that:

`KS : LS = RS : QS`

`KS = 14`

`RS = 28`

`QS = 12 + LS`

`LS = ??`

So, the expression becomes:

`14 : LS = 28 : 12 + LS`

Represent as a fraction

`(14)/(LS) = (28)/(12 + LS)`

Cross Multiply:

`14(12 + LS) = 28 * LS`

Divide through by 12

`12 + LS = 2 * LS`

`12 + LS = 2 LS`

Collect Like Terms

`2LS - LS = 12`

`LS = 12`

The length of the missing side is 12