Question

The diargram show a right show a right -angle and a parallelogram the area of the parallelogram is times the area of the traiangle and its perpendicular height is h cm find the value of h

Answer 1

Question:

The diagram shows a right -angle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h. Find h

Answer:

`h =12cm`

Explanation:

Given

Triangle

`Base = 9cm`

`Height = 16cm`

Parallelogram

`Base = 30cm`

`Height = h`

Calculate the area of the triangle

`Area = 0.5 * Base * Height`

`Area = 0.5 * 9cm * 16cm`

`Area = 72cm^2`

When multiplied by 5, gives the area of the parallelogram.

So:

The area of Parallelogram is:

`Area = Base * Height`

`Area = 30cm * h`

This gives:

`30cm * h = 72cm^2 * 5`

Make h the subject

`h = (72cm^2 * 5)/(30cm)`

`h = (72cm^2)/(6cm)`

`h =12cm`