Question

What is the area of the following shape?​

Answer 1

91 square feet

Explanation:

The question shows us a rectangle from which a triangle has been cut off. The question then asks us to calculate the area of the resulting shape.

In order to find the remaining area, we must subtract the area of the triangle from the area of the rectangle.

Let's find the area of the rectangle first:

Area of rectangle = length × breadth

= 14 ft. × 8 ft.

= 112 square ft.

Now let's find the area of the triangle that was removed:

Area of triangle =
`(1)/(2)` × base × height

=
`(1)/(2)` × 14 ft. × 3 ft.

= 21 square ft.

Finally, we have to subtract the area of the triangle from the area of the rectangle:

Area given shape = 112 - 21

= 91 square ft.

Therefore, the correct answer is 91 square feet.