Question

The diagram shows a right-angled triangle and a parallelogram.

16 cm height of triangle
30 cm base of parallelogram
9cm base of triangle

The area of the parallelogram is 5 times the area of the triangle.
The perpendicular height of the parallelogram is hcm.
(b) Find the value of h.

Answer 1

Explanation:

At= area of the triangle

Ap= area of the parallelogram

At=b*h/2=9*16/2=72

Ap=5*At=5*72=360

Ap=b*h=12⇒30*h=360⇒h=12