Question

An artist is laying out the design for a wall hanging on a coordinate plane. She uses polygon EFGH with vertices E (4, 4), F (−4, 4), G (−4, −4), and H (4, −4) to represent the finished piece. What is the area of this polygon?

Answer 1

The area is 64squared units

Explanation:

Given

`E = (4,4)`

`F = (-4,4)`

`G = (-4,-4)`

`H = (4,-4)`

Required

The area of the polygon

First, we plot the given coordinates on a plane (See attachment)

From the attachment, we can see that the 4 coordinates make up a square.

Where

`EF = FG = GH = GE = 8\ units`

So, the area is:

`Area = EF^2`

Substitute
`8` for
`EF`

`Area = 8^2`

`Area = 64`

Hence, the area is 64 squared units