Area of Triangles and Parallelograms
Michael is finding the area of parallelogram ABCD. To do this he follows the steps in the table. To solve the problem using these steps, what are the dimensions of the rectangle he should draw?
c. 4 units by 4 units
What is the area of triangle ABC? A(1, 1) B(4, 0) C(3, 5)
7 square units
What is the area of triangle QRS?
7 square units
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
d. 1.6 units
What is the area of parallelogram ABCD? A(3, 6) D(2, 2) B(5, 6) C(5, 1).
13 square units
Which expression can be used to find the area of triangle RST?
a. (8 • 4) -1/2 (10 + 12 + 16)
Payton cut out two shapes, as shown, that she will later put together to resemble a house. What is the total area of the two shapes?
b. 21 square units
What is the area of triangle ABC? A(0, 0) B(3, 4) C(3, 2)
b. 3 square units
What is the area of triangle LMN?
b. 4 square units
If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram?
b. 5.4 units
What is the area of triangle GHJ?
b. 6 square units
If line segment AB measures approximately 8.6 units and is considered the base of parallelogram ABCD, what is the approximate corresponding height of the parallelogram? Round to the nearest tenth.
c. 4.8 units
How do the areas of the parallelograms compare?
c. The area of parallelogram ABCD is equal to the area of parallelogram EFGH.
