ABCD is a parallelogram having area of 450cm square If ABllCD,P and Q divide AB and CD in the ratio - Maths - Areas of Parallelograms and Triangles

Question

ABCD is a parallelogram having area of 450cm square If ABllCD,P
and Q divide AB and CD in the ratio 1:2, find the area of the
parallelogram APQD and parallelogram PBCQ

Ayush Jha · Accepted Answer

We have the following-

We have $\frac{1}{2} (C D) (A L) = 450$ Since, $D Q = \frac{1}{3} (C D) a n d C Q = \frac{1}{3} (C D)$ Now the area of ||gm APQD $a r (A P Q D) = \frac{1}{2} (D Q) (A L) = \frac{1}{3} (\frac{1}{2} (C D) (A L)) = 150 {c m}^{2}$ Now area of ||gm PBCQ $a r (A P Q D) = \frac{1}{2} (C Q) (A L) = \frac{2}{3} (\frac{1}{2} (C D) (A L)) = 300 {c m}^{2}$

ABCD is a parallelogram having area of 450cm square.If ABllCD,P and Q divide AB and CD in the ratio 1:2, find the area of the parallelogram APQD and parallelogram PBCQ.