11
AssignmentMultiple Choice

Scale Drawings and Area

Question 11 • FL-1205040-M/J Grade 7 Mathematics B -GF

The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width of the room is 69 feet. What is the area of the scale drawing?

Answer
A
50 square feet
B
500 square feet
C
600 square feet
D
1380 square feet

Explanation

A scale factor of 2.3 means each actual dimension is 2.3 times the corresponding drawing dimension. So the drawing’s length is 46 ÷ 2.3 = 20 feet, and its width is 69 ÷ 2.3 = 30 feet. The area is 20 × 30 = 600 square feet, so the answer is 600 square feet.

AI-written and checked against the verified answer.