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.

Question

12 July, 21:34

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Answers (1)

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Brown · Answer 1

Step-by-step 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

The diagram shows a right-angled triangle and a parallelogram.16 cm height of triangle30 cm base of parallelogram9cm base of triangleThe 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.