Question

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. What is the area
of the class banner?' PLZ ANSWER​

Answer 1

Given:

A triangular piece is cut out of a rectangular piece of paper to make the class banner.

To find:

The area of the class banner.

Solution:

The rectangular piece of paper is 14 inches long and
`5+3=8` inches wide.

From the given diagram, the triangle has a base length of the same 8 inches and has a height of
`14-11=3` inches long.

To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.

The area of a triangle
`= (1)/(2) (b)(h).`

The area of the triangle
`= (1)/(2) (8)(3) = 12` square inches.

The area of a rectangle
`= (l)(w).`

The area of the rectangle
`= (14)(8)= 112` square inches.

The area of the class banner
`= 112-12=100` square inches.

So the banner has an area of 100 square inches which is the first option.