Solving Mathematical and Real-World Problems Involving Area of Composite Solids

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Calculate the composite surface area of the figure. The slant height is approximately 57.31 ft.

• 16578.47 ft²

• 7022.35 ft²

• 490.09 ft²

• 8002.52 ft²

13) A cutting board is created with congruent light pieces and congruent dark pieces of wood, as shown in the figure. All angles are right angles. What is the combined area of the dark pieces of wood in square inches?

• 399.75 in²

• 877.5 in²

• 478.5 in²

• 253.5 in²

Mr. Hubbs bought a new home and wants to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?

• 2400 sq ft

• 13,600 sq ft

• 16,000 sq ft

• 18,400 sq ft

What is the total surface area?

• 384 cm²

• 2000 cm²

• 2384 cm²

• 2168 cm²

Calculate the composite surface area of the figure, to the nearest square centimeter. Use 3.14.

• 4,227 cm²

• 4,542 cm²

• 4,605 cm²

• 5,262 cm²

3) A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What is the area of the drawing of the sailboat in square centimeters?

What is the area of the shaded region?

• 14 m²

• 120 m²

• 106 m²

• 100 m²

The figure below show a triangular shaped garden located inside a rectanualr shaped, grassy yard.  What is the area of the grassy yard?

• 480 m^2

• 384 m^2

• 360 m^2

• 336 m^2

A sidewalk is built around two sides of a building. What is the area of the sidewalk? (Note that the diagram is not to scale).

• 394 m²

• 9,044 m²

• 9,438 m²

• 18,482 m²