Question

David made a class banner out of a large rectangular piece of paper. He

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 $= \frac{1}{2} (b)(h).$

The area of the triangle $= \frac{1}{2} (8)(3) = 12$ 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.