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:

$h =12cm$

Step-by-step 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

$h = \frac{72cm^2 * 5}{30cm}$

$h = \frac{72cm^2}{6cm}$

$h =12cm$