What is the length in feet of the ramp?

Correct Answer: C 🗳️
Let x = the length of the ramp. Use the Pythagorean Theorem to obtain the equation: x
= 122 + 162 = 144 + 256 = 400

What is the perimeter of the figure?

Correct Answer: C 🗳️
To find the perimeter of the figure, find the sum of the lengths of its sides. 2a + a + b + 2a + b + a + 2b = 6a + 4b.

A rectangular dining room has a floor area of 322 square feet. If the length of the room is 23 feet, what is the perimeter?

Correct Answer: E 🗳️
Let x = the width of the room;
23x = 322;
x = 322 ֳ· 23 = 14
23 + 14 + 23 + 14 = 74 feet.

What is the perimeter of the figure?

Correct Answer: A 🗳️
The perimeter of the figure is x + 2y + 3x גˆ’ y +2x +3y +5x + y = 11x +5y.

The measures of the angles of a triangle are in the ratio 3:2:1. What is the measure of the largest angle of the triangle?

Correct Answer: E 🗳️
Let x, 2x, and 3x be the measures of the three angles. Then:
x + 2x +3x = 180
6x = 180
x = 180 ֳ· 6 = 30
3x = 3(30) = 90

A box in the form of a rectangle solid has a square base 5 feet in length and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which of the following equations may be used to find h?

Correct Answer: C 🗳️
Use the formula V = lwh. In this case, l = 5, w = 5, and h = h. Therefore, V = 5 ֳ— 5 ֳ— h = 25h and 25h = 200.

The diagram represents a large living room. What is the area, in square yards, of the room?

Correct Answer: D 🗳️
Divide the floor space into two rectangles by drawing a line segment. The area of the large rectangle = 20 ֳ— 15 = 300 sq. ft. The area of the small rectangle = 10 ֳ—
15 = 150 sq. ft. The total area of floor space = 150 + 300 = 450 sq. ft. Since 9 sq. ft. = 1 sq. yd., 450 sq. ft. ֳ· 9 = 50 sq. yd.

A 3-foot-wide walkway is built around a swimming pool that is 20 feet by 30 feet, as shown in the following figure.

In order to determine how much flagstone to buy, the homeowner needs to know the total area, in square feet, of the walkway. Which of the following expressions represents this area?

Correct Answer: D 🗳️
As you can see from the figure, to find the area of the walkway, you need to subtract the area of the inner rectangle, 20 ֳ— 30 sq. ft., from the area of the outer rectangle, 26 ֳ— 36 sq. ft.: 26 ֳ— 36 ג€" 20 ֳ— 30 sq. ft.

A 3-foot-wide walkway is built around a swimming pool that is 20 feet by 30 feet, as shown in the following figure.

If the depth of the pool is 6 feet, what volume of water, in cubic feet, is needed to fill the pool?

Correct Answer: E 🗳️
Since the average depth of the pool is 6 ft., the water forms a rectangular solid with dimensions 30 by 20 by 6. The volume of water is the product of these three numbers: 30 ֳ— 20 ֳ— 6 = 3,600 ft.

A 3-foot-wide walkway is built around a swimming pool that is 20 feet by 30 feet, as shown in the following figure.

What is the total area, in square feet, of the pool and the walkway?

Correct Answer: D 🗳️
Taken together, the pool and the walkway form a rectangle with dimensions 36 by 26. The total area is the product of these numbers: 36 ֳ— 26 = 936 sq. ft.