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?

The area is 64squared units

Step-by-step explanation:

Given

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

So, the area is:

Substitute for

Hence, the area is 64 squared units

the answer is b i just did that

step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!