Question

What is the area, in square feet, of the shaded part of the rectangle below?

Answer 1

The area of the shaded part is 208 ft²

The area of the shaded portion is :

• Area of rectangle - Area of triangle

Area of rectangle = (17 × 16) = 272 ft²

Area of Triangle = 1/2 × 8 × 16 = 64 ft²

Area of shaded portion = 272 - 64 = 208 ft²

Answer 2

The area of shaded region is 208 sq.feet

Explanation:

Refer the attached figure

ABCD is rectangle

Opposite sides of rectangle are equal so

AB = CD = 16 feet

AD = BC= 17 feet

Area of rectangle =
`Length * Breadth = 16 * 17 =272 ft^2`

Now In triangle PCD

CD = 16 feet

PC = BC-BP = 17-9 = 8 feet

Since all angles of rectangle is 90°

So,PCD is a right angles triangle

So, Area of triangle =
`(1)/(2) * Base * Height = (1)/(2) * 16 * 8 =64 ft^2`

Area of shaded region = Area of rectangle - Area of triangle =
`272-64=208 ft^2`

Hence The area of shaded region is 208 sq.feet