5
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 5 • Mathematical Models with Applications - MA4072 CR

The floorplan of a house is drawn to a scale of 1 inch:5 feet. The actual dimensions of the family room are 20 feet by 24 feet. What are the dimensions of the family room on the floorplan?

Answer
A
9 in. by 10.8 in.
B
3 in. by 2.5 in.
C
1.67 in. by 2 in.
D
4 in. by 4.8 in.

Explanation

The scale is 1 inch for every 5 feet, so divide each actual room dimension by 5 to find its floorplan dimension. The 20-foot side becomes 20 ÷ 5 = 4 inches, and the 24-foot side becomes 24 ÷ 5 = 4.8 inches. Therefore, the family room measures 4 in. by 4.8 in. on the floorplan, choice d.

AI-written and checked against the verified answer.

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