Q8 of 77 Page 16

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB||QR. If area of ΔPBQ is 17 cm2, find the area of ΔASR.

Given that,

Area ( = 17 cm2


PQRS is a trapezium


PS ‖ QR


A and B are points on PQ and RS respectively


AB ‖ QR


We know that,


If a triangle and a parallelogram are on the same base and between the same parallels, the area of triangle is equal to half area of parallelogram


Here,


Area ( = Area ( (i)


Area ( = Area ( (ii)


We have to find Area (,


Area ( = Area ( + Area (


= Area ( + Area (


= Area (


= 17 cm2


Hence,


Area ( is 17 cm2.


More from this chapter

All 77 →
6

In square AB2CD, P and Q are mid-point of AB and CD respectively. If AB = 8 cm and PQ and BD intersect at O, then find area of ΔOPB.

 7

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If area of ΔABC is 16 cm2, find the area of ΔDEF.

 9

ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CO:OP = 3:1. If Find the area of parallelogram ABCD.

 10

P is any point on base BC of ΔABC and D is the mid-point of BC. DE is drawn parallel to PA to meet AC at E. If then find area of ΔEPC.