The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A = w(w+8)

B. A = 2w+2(w+8)

C. A = 5(w+8)

D. A = w+(w+8)

Answer Explanation:

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

Therefore, the Correct Answer is A.

Q #1: Which of the following is the decimal form of 58.7%?

A. 0.587

B. 5,870

C. 5.87

D. 587

Answer Explanation

percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.

The decimal form of 58.7% is 0.587.
Q #2: 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 5.0 feet above the sidewalk?

A. 60 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation

To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.
Q #3: As the number of opening hours a bank opens in a week increases, the amount of transaction, the number of deposits, and the number of loans available also increase. Which of the following is the independent variable?

A. Opening hours

B. Amount of transactions

C. Number of loans available

D. Number of deposits

Answer Explanation

Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.