What is the area of shaded part in the diagram below given that PQRS is a rectangle PQ=12cm and QR =8cm?

1 answer

Since PQRS is a rectangle, we know that opposite sides are congruent. So, QS must also be equal to 12cm.

To find the area of the shaded part, we need to subtract the area of the triangle QRS from the area of the rectangle PQRS.

The area of the triangle QRS can be found by using the formula for the area of a triangle: Area = 1/2 * base * height.

The base of the triangle is QR, which is 8cm.
The height of the triangle is QS, which is 12cm.

So, the area of the triangle QRS is 1/2 * 8cm * 12cm = 48cm^2.

The area of the rectangle PQRS is found by multiplying the length and width: Area = length * width = 12cm * 8cm = 96cm^2.

Therefore, the area of the shaded part is 96cm^2 - 48cm^2 = 48cm^2.