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 [tex]5+3=8[/tex] inches wide.
From the given diagram, the triangle has a base length of the same 8 inches and has a height of [tex]14-11=3[/tex] 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 [tex]= \frac{1}{2} (b)(h).[/tex]
The area of the triangle [tex]= \frac{1}{2} (8)(3) = 12[/tex] square inches.
The area of a rectangle [tex]= (l)(w).[/tex]
The area of the rectangle [tex]= (14)(8)= 112[/tex] square inches.
The area of the class banner [tex]= 112-12=100[/tex] square inches.
So the banner has an area of 100 square inches which is the first option.
