Solving mathematical and real-world problems involving surface area of composite solids

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

• 143.5 ft²

• 159.5 ft²

• 167.5 ft²

• 172.5 ft²

11. A company’s logo is formed by drawing a circle and then replacing the two opposite quarter circles with squares as shown. 
What is the approximate area of the logo?

• 46 cm²
• 32 cm²
• 71 cm²
• 85 cm²

What is the surface area of this figure

• 30.2 yd²

• 50.2 yd²

• 47.2 yd²

• 54.5 yd²

What is the 50 meters?

• height

• diameter

• slant height

• radius

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

• 13,600 ft²
• 18,400 ft²
• 16,000 ft²
• 2,400 ft²

A triangle with a square removed from its interior is shown. What is the area of the pink shaded portion of the triangle?

• 9 units²

• 15 units²

• 39 units²

• 48 units²

The length of a rectangle is increasing at a rate of 44 inches per second while its width is decreasing at a rate of 33 inches per second. At what rate, in square inches per second, is the area of the rectangle changing when its length is 23 inches and its width is 18 inches?

Calculate the composite surface area of the square pyramid on top of the square prism.

• 8160 cm²
• 2400 cm²
• 3456 cm²
• 2304 cm²

FInd the Surface area of the shape below?

• 258 m²
• 268 m²
• 248 m²
• 278 m²

Points A, B, C, and D are the vertices of a square. Points E and F are the centers of two congruent semicircles that are tangent to each other at point G.

Which value is closest to the area of the shaded regions?

• 7.7 units²

• 4.3 units²

• 17.2 units²

• 64.3 units²