Question

A rectangle has a perimeter of 20 units. The coordinates of three of the vertices are (0,0), (6,0), and (6,4) What is the area of the composite figure?

Answer 1

We have a rectangle of which we know three vertices: (0,0), (6,0), and (6,4).

Its perimeter is P = 20 units.

We have to calculate the area.

To do that we need the length of the sides.

We can graph the vertices to help us find the length of the sides:

We then can see that one side is on the x-axis, from (0,0) to (6,0). The other side goes from (6,0) to (6,4).

Then, the side lengths can be calculated easily in this case: the sides have lengths 6 and 4.

With the side length, we can calculate the area as:

`A=l\cdot w=6\cdot4=24`

Answer: the area of the rectangle is 24 square units.