Question

10 solve for x given the similar quadrilaterals below: be careful - look at the side lengths! x =

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. We have the proportion $\frac{24}{16}=\frac{2x - 11}{12}$.

Step2: Cross - multiply

$24\times12=16\times(2x - 11)$.
$288 = 32x-176$.

Step3: Solve for x

Add 176 to both sides: $288 + 176=32x$, so $464 = 32x$.
Then $x=\frac{464}{32}=\frac{58}{4}=14.5$.

Answer:

$14.5$