Question 3 • FL-1205040-M/J Grade 7 Mathematics B -GF
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
Answer
O
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
O
One cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
O
One cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
O
One cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
Explanation
The 8 cm drawing length represented 40 m originally, so each centimeter represented 40 ÷ 8 = 5 m. After the planned length changed to 32 m, the same 8 cm drawing represents 32 ÷ 8 = 4 m per centimeter. Therefore, one centimeter represented 5 m in the first scale and 4 m in the second scale: choice A.
AI-written and checked against the verified answer.