1. A polygon has vertices at P(2, 2), Q(8, 2), R(8, 5), S(5, 7), and T(2, 5). What is its area in square units? ___
2. Using the enclosure method, find the area of a triangle with vertices at J(1, 3), K(7, 1), and L(5, 8). The area is ___ square units.
3. A polygon has vertices at (0, 0), (7, 0), (7, 5), (4, 5), (4, 3), and (0, 3). Calculate its total area. ___
4. An L-shaped polygon has vertices at (1, 1), (6, 1), (6, 3), (3, 3), (3, 5), and (1, 5). Find its area. ___
5. What is the area of a polygon with vertices at E(-3, -2), F(4, -2), G(3, 3), and H(-1, 3)?
6. A rectangular room is 15 feet long and 12 feet wide. A rug measuring 8 feet by 6 feet is placed in the center. The area of the floor not covered by the rug is ___ square feet.
7. To find the area of a large rectangle with a smaller rectangular hole inside it, which calculation is correct?
8. A picture frame has outer dimensions of 14 inches by 11 inches. The opening for the picture is 10 inches by 8 inches. What is the area of the frame itself, in square inches? ___
9. A rectangular lawn is 25 meters long and 20 meters wide. A square patio with 5-meter sides is built in the middle. The area of the grass is ___ square meters.
10. A sheet of construction paper is 10 inches long and 8 inches wide. If a 3-inch by 4-inch rectangle is cut out from it, what is the remaining area of the paper?