In a parallelogram abcd ,AB=25 and the corresponding altitude is 15 cm If the area of parallelogram ABCD is equal - Maths - Perimeter and Area

Question

In a parallelogram abcd ,AB=25 and the corresponding altitude is 15
cm If the area of parallelogram ABCD is equal to the area of
another parallelogram PQRS with sie QR=20cm,then find altitude of
this parallelogram corresponding to side QR

Varun Rawat · Accepted Answer

Consider the parallelogram ABCD
We have,AB = 25 cmaltitude corresponding to AB = 15 cmarea of parallelogram ABCD = AB × corresponding altitude = 25×15 = 375 cm2Consider the parallelogram PQRS
QR = 20 cmaltitude corresponding to side QR = ?area of parallelogram PQRS = 375 cm2⇒QR × corresponding altitude = 375⇒20×corresponding altitude = 375⇒corresponding altitude = 37520 = 18
75 cm

In a parallelogram abcd ,AB=25 and the corresponding altitude is 15 cm.If the area of parallelogram ABCD is equal to the area of another parallelogram PQRS with sie QR=20cm,then find altitude of this parallelogram corresponding to side QR.