Question

find the area of parallelogram PQRS, If the area of the shaded portion is 9cm²

Answer 1

Answer:

$area \: of \: parallelogram \: \: \: \: \: pqrs = \\ \\ = 42 \: {cm}^{2} .$

Step-by-step explanation:

$area \: of \: shaded \: region = 9 \\ \\ \frac{1}{2} \times h \times 3 = 9 \\ \\ h = \frac{9 \times 2}{3} = 6 \: cm \\ \\ \\ \\ area \: of \: parallelogram \: \: \: \: \: pqrs = h \times 4 \\ \\ = 6 \times( 4+3) \\ \\ = 42 \: {cm}^{2} .$