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 BCGE, 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 BCGE each have a base of
meters and a height of
meters.
The area of triangle BFC is
square meters.
The total area of the figure is
square meters.
The bottom portion of the figure, quadrilateral BCGE, may be composed into a larger rectangle with base 6 meters.
The area of this composed rectangle is 48 square meters.
The triangles that need to be subtracted from the composed rectangle to find the area bounded by BCGE each have a base of 4 meters and a height of 6 meters.
The area of triangle BFC is 18 square meters.
The total area of the figure is 66 square meters.