The figure below represents a large poster being designed for a pep rally in the school gym. The units on the grid represent meters.

On the coordinate plane, the point A is at (4, 2), B is at (4, 12), C is at (8, 12), D is at (8, 2), E is at (2, 2), F is at (6, 18), and G is at (10, 2).

What is the total area of the poster?
Use the drop-down menus to choose the correct response that makes each statement true.
The bottom portion of the figure, quadrilateral , may be composed into a larger rectangle with base

. The area of this composed rectangle is ​
square meters.
The triangles that need to be subtracted from the composed rectangle to find the area bounded by each have a base of ​
meters and a height of ​
meters.
The area of triangle is ​
square meters.
The total area of the figure is ​
square meters.
A. 8
B. 10
C. 40
D. 80
E. 2
F. 4
G. 8
H. 10
I. 2
J. 4
K. 8
L. 10
M. 10
N. 12
O. 24
P. 36
Q. 10
R. 12
S. 24
T. 36
U. 60
V. 62
W. 72
X. 94

Choose 5 answers only!

Thank you.

1 answer

The bottom portion of the figure, quadrilateral BCDE, may be composed into a larger rectangle with base 6 meters. The area of this composed rectangle is 24 square meters.
The triangles that need to be subtracted from the composed rectangle to find the area bounded by BCDEF have a base of 4 meters and a height of 6 meters. The area of triangle BCF is 12 square meters.
The total area of the figure is 40 square meters.

Therefore, the correct answers are:
G. 8
O. 24
R. 12
T. 36
X. 94