Question

What is the value of m

Answer 1

Answer:

$x=16\frac{2}{3}$

Step-by-step explanation:

Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:

$\frac{m}{10}=\frac{5}{3}$

Cross-multiply to get:

$3m=50$

Thus, m = $\frac{50}{3}$ which is $16\frac{2}{3}$ .

Hope this helps :)