Question

The area of a rectangle is 80 square units. A side of the rectangle, representing the

length, is 4 units long. Which could be the vertices of aside of the rectangle that
represents the width?

Answer 1

So the width of the rectangle is 20 units.

Explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).