## The Abrams put a cement walkway around their rectangular pool. The pool’s dimensions are 12 ft. by 24 ft., and the width of the walkway is 5 ft. in all places. The area of the walkway is

(A)205 sq. ft.

(B)288 sq. ft.

(C)460 sq. ft.

(D)493 sq. ft.

(E)748 sq. ft.

The Correct Answer

Explanation

What is % of 90

（A） 0.04 （B） 0.145 （C） 45 （D） 0.45 （E） 145

**Correct Answer: D**

The law of sines states that for any triangle, the ratio between the sine of an angle and the length of the side opposite that angle is the same for all of the interior angles in the triangle. In XYZ shown below, = 22 cm, z = 32°, and y = 44°. What is the length of ?

（A） （B） （C） （D） （E）

**Correct Answer: D**

If x < y, then |x - y| is equivalent to which of the following?

（A）x + y （B） -(x + y) （C） （D） x - y （E） -(x - y)

**Correct Answer: E**

### More ACT Math Exam Questions

- 1
The diagonal of a square quilt is 4 feet long. What is the area of the quilt in square feet?

- 2An angle with vertex at the origin and measure θ is shown in the standard (x,y) coordinate plane below. If one side of the angle includes the positive x-axis and the other side passes through (-12, -5), then what is the sine of θ ?
- 3A function f is defined by f(x,y) = x - (xy - y). What is the value of f(8,6)?
- 4As shown in the figure below, ΔXYZ is a right triangle with legs of length x units and y units and hypotenuse of z units, such that 0 < x < y. Quadrilaterals ABYX, CDZY, and EFXZ are squares. If 2x = z, then what is the value of cos(∠XYZ) ?
- 5Celia has five blouses, four pairs of pants, three scarves, and three hats. If every outfit must include one blouse, one pair of pants, one scarf, and one hat, how many different outfits can Celia create?