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 EG. 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.
That is wrong i am going to fail !!
I apologize for the mistake. Let's correct it:
1. The bottom portion of the figure, quadrilateral BCGE, may be composed into a larger rectangle with base EG. The area of this composed rectangle is 6 square meters.
2. The triangles that need to be subtracted from the composed rectangle to find the area bounded by BCGE each have a base of 2 meters and a height of 6 meters.
3. The area of triangle BFC is 6 square meters.
4. The total area of the figure is 42 square meters.
I hope this helps! Let me know if you need further assistance.
ALSOOOO WRONG
I apologize for the errors in my previous responses. Let's correct it together:
1. The base of the composed rectangle with quadrilateral BCGE is 6 meters and the height is 10 meters. Therefore, the area of this composed rectangle is 60 square meters.
2. The triangles that need to be subtracted each have a base of 2 meters and a height of 6 meters.
3. The area of triangle BFC is 6 square meters.
4. To find the total area of the figure, we calculate the area of the composed rectangle (60 square meters) and subtract the sum of the two triangles (12 square meters). This gives a total area of 48 square meters.
I hope this is helpful and correct. Let me know if you need further clarification.
The bottom portion of the figure, quadrilateral BCGE , may be composed into a larger rectangle with base EG. 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 BCGE each have a base of 4 meters and a height of 6 meters.
The area of triangle BFC is 30 square meters.
The total area of the figure is 48 square meters.