Question

The area of the parallelogram is 5 times

the area of the triangle and its perpendicular
height is h cm.
Find the value of h.

The triangle is 7cm across and 24cm up and the parallelogram is 30cm across

Answer 1

14 cm

Explanation:

Given that:

Base, b of triangle = 5 cm

Height, H of triangle = 24 cm

Base of parallelogram, a = 30 cm

Area of triangle = 0.5 * bH

Area of parallelogram = a * h

Where, h = height of parallelogram

Area of parallelogram is 5 times the area of triangle ;

5 * 0.5 * 7 * 24 = 30 * h

420 = 30* h

h = 420 / 30

h = 14 cm