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

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 inches wide.

From the given diagram, the triangle has a base length of the same 8 inches and has a height of 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

The area of the triangle square inches.

The area of a rectangle

The area of the rectangle square inches.

The area of the class banner square inches.

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

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step-by-step explanation:

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this