## 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.

Which of the following is closest to the perimeter of quadrilateral FGHJ, in coordinate units?

（A）28 （B） 39.7 （C） 60 （D） 108 （E） 120

Quadrilateral FGHJ is shown below in the standard (x,y) coordinate plane. For this quadrilateral, = 10, = 6, = , and = 12.

**Correct Answer: B**

Melissa attaches her dog's leash to a metal anchor in the grass so that the dog can roam only within a radius of 12 feet in any direction from the anchor. A map of the area accessible to the dog is shown below in the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.

Which of the following is an equation of the circle shown on the map?

（A）(x - y)^{2} = 12
（B） (x + y)^{2} = 12
（C） (x + y)^{2} = 12^{2}
（D） x^{2} + y^{2} = 12
（E） x^{2} + y^{2} = 12^{2}

**Correct Answer: E**

For all is equivalent to:

（A）-1 （B） （C） 1 （D） （E）

**Correct Answer: E**

### More ACT Math Exam Questions

- 1
If a + 3b = 27 and a - 3b = 9, then b = ?

- 2
For each positive integer k, let k

_{o}be the sum of all positive odd integers less than k. For example, 6_{o}= 5 + 3 + 1 = 9 and 7_{o}= 5 + 3 + 1 = 9. What is the value of 17_{o}× 4_{o}? - 3Which of the following equations summarizes the data listed below?
- 4
What is the area of the trapezoid in the following figure?

- 5
What is the value of when x= ?