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.