Quadrilateral is such that and

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Quadrilateral

ABCD

is such that

AB\parallel CD

and

AB = CD = (2s + 3)\text{ cm}

. The remaining two sides are

AD = (s + 9)\text{ cm}

and

BC = 17\text{ cm}

. (a) Prove that

ABCD

is a parallelogram. (b) Find the value of

s

. (c) Hence calculate the perimeter of

ABCD