Topic 13 Assessment - Area

1. Gabrielle is cutting a triangular sign with a base of 8 inches and height of 9 inches. What is is the area of the sign?

2a. Use the points shown as the vertices of a right triangle with an area of 15 square units.

Which points could be the third vertex of the triangle? Select all that apply.

• (4,-3)

• (-3,4)

• (2,2)

• (-2,-2)

• (-2,2)

2b. Use the points shown as the vertices of a right triangle with an area of 15 square units.

Justify your answer to Part A by showing that the area is 15 square units. Numbers may be used once or not at all.

3. Lana made a wooden frame in the shape of a triangle. If the base of the triangle is 24 inches and the height is 12 inches, what is the area enclosed by the wooden frame?

4a. Laisha bought a decorator tile that is in the shape of a kite.

Which of the following expressions can be used to find the area of the tile? Select all that apply.

• 2(1/2 x 12 x 30) + 2(1/2 x 12 x 18) 

• 2(1/2 x 12 x 48)

• 2(12 x 30) + 2(12 X 18)            

• 1/2(12 x 30) + 1/2(12 x 18

•  1/2 (24 x 48)

4b. Laisha bought a decorator tile that is in the shape of a kite.

What is the area of the tile?

4c. Laisha bought a decorator tile that is in the shape of a kite.

The tile will be placed on a rectangular part of the wall that completely encloses the tile.

All of the vertices of the kite are on the rectangle. What is the area of this part of the wall?

5a. Use the drop-down menus to explain one way to find the area of the arrow.

Decompose the arrow into a triangle and a square.

The height of the triangle is (​ (a)   )

• 4
• 3
• 5
• 6

5a. Use the drop-down menus to explain one way to find the area of the arrow.

Decompose the arrow into a triangle and a square.

and the base of the triangle is (​ ​ (a)   )

• 10
• 16
• 12
• 6

5a. Use the drop-down menus to explain one way to find the area of the arrow.

Decompose the arrow into a triangle and a square.

The area of the triangle is ​ (a)  

• 20
• 40
• 36
• 18