Module 8 Put-It-All- Together

Randy purchases four planks at a cost of $1.50 per linear foot to build a garden bed in the shape of a parallelogram. Two of the planks are 8 feet, and two are 6 feet. He also buys garden fabric to cover the entire garden bed at $3.99 per square foot. What is the total cost of the project?

• 150.00
• 200.75
• 180.30
• 233.52

J’ette created a backsplash using parallelogram-shaped tiles. If each tile covers an area of 13.5 square centimeters and the base of one tile is 4.5 cm, what is the height of one tile?

• 2 cm
• 5 cm
• 3 cm
• 4 cm

The entire backsplash area is a rectangle with a length of 225 cm and a width of 50 cm. How many tiles are needed to cover the space?

• 825

• 833

• 834

• 850

A triangle has a base length of 25 inches. If the area of the triangle is 187.5 square inches, what is the height?

• 12 inches
• 10 inches
• 20 inches
• 15 inches

Renee builds side tables with triangular tops using hardwood that costs $35.25 per square foot. Which of the following statements are true?

• A) Renee will need 21.2 square feet of wood.

• B) Renee will need 42.4 square feet of wood.

• C) Renee will spend $28.20 more on tops for Table 1 than Table 2.

• D) Renee will spend $56.40 more on tops for Table 1 than Table 2.

• E) Renee will spend $747.30 on wood.

A trapezoid has base lengths of 26 inches and 34 inches. If the area of the trapezoid is 540 square inches, what is its height?

• 18 inches
• 30 inches
• 24 inches
• 12 inches

A trapezoid can be decomposed into three polygons. What are the three polygons?

• A square and a circle.
• Two triangles and a hexagon.
• A parallelogram and a trapezium.
• A triangle and a rectangle.

What is the total area of the trapezoid, using the sum of the areas of the three polygons?

• 180 mm²

• 204 mm²

• 228 mm²

• 250 mm²

A regular dodecagon has side lengths of 2.75 feet. What is its area?

• 84.49 square feet
• 66 square feet

• 100 square feet

• 50 square feet