The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A = 5x

B. A = 2x+2(x+5)

C. A = x(x+5)

D. A = x+(x+5)

Answer Explanation:

We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.

Length of rectangle=(x+5)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+5)*x

A=x(x+5)

Thus, the area of the rectangle is x(x+5).

Therefore, the Correct Answer is C.

Q #1: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.5 feet above the sidewalk?

A. 25 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation

The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

Cross-multiply to find the value of x

Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
Q #2: A circle has an area of 49 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 7 π in

B. 14 π in

C. 28 π in

D. 3.5 π in

Answer Explanation

We need to find the circumference of the circle from the given area.

To find the circumference, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, and the area of the circle is given by

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
Q #3: Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 72 cm

B. 180 cm

C. 36 cm

D. 90 cm

Answer Explanation

We convert the given value in yard to the cm using the following set up.

The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.