(a) In parallelogram , the lengths of the opposite sides are given by and . Find the…

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

(a) In parallelogram

PQRS

, the lengths of the opposite sides are given by

PQ = 5x - 1\text{ cm},\; RS = 3x + 7\text{ cm}

and

QR = 2y + 3\text{ cm},\; PS = y + 9\text{ cm}

. Find the values of

x

and

y

. (b) Hence determine the length of each side of

PQRS

. (c) Calculate the perimeter of the parallelogram.