Question

11

David made a class banner out of a large rectangular piece of paper. He cut a
triangular piece out of one side, as pictured below.
14 in.
5 in.
3 in.
-11 in.-
14 in.
What is the area, in square inches, of the banner?

Answer 1

Explanation:

77.5

Answer 2

Okay, let's think through this step-by-step:

The original rectangular piece of paper is 14 inches wide and 5 inches tall.

So the area of the original rectangle = 14 * 5 = 70 square inches

David cut out a triangular piece from one side.

We are given:

** The triangle height = 3 inches

** The triangle base = 5 inches

** The triangle extends 11 inches from the edge

To find the area of the triangle:

** Triangle area = (base * height) / 2

** = (5 * 3) / 2 = 7.5 square inches

To find the area of the remaining rectangle shape:

** Length after triangle cut = 14 - 11 = 3 inches

** Remaining rectangle area = 3 * 5 = 15 square inches

Total area of banner = Area of original rectangle - Area of triangle + Area of remaining rectangle

= 70 - 7.5 + 15 = 77.5 square inches

So in summary, the area of the banner in square inches is 77.5

Explanation: