Question

Parallelogram P was dilated to form parallelogram P prime. Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8. What is the value of x? (Figures not drawn to scale.)

Answer 1

Answer:

$x = 1$

Step-by-step explanation:

Dilated shapes have identical shape and measures are proportionally scaled.

According to the problem:

$\frac{10}{20} = \frac{x+3}{8}$

$=> 20x + 60 = 80$

∴ $x = 1$