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A tree shades an area of 7 m²? In a scale drawing, the tree shades an area of 12

cm. In the scale drawing, how many square centimeters represent 1 m²?

A. 3/5
B. 5/3
C. 93 3/4
D. 10,000

User Omayr
by
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1 Answer

6 votes

Final answer:

To find out how many square centimeters represent 1 square meter in the scale drawing, divide the shaded area on the scale drawing by the actual area, the answer is 3/5 square centimeters. Therefore, the correct answer is Option A.

Step-by-step explanation:

To find the number of square centimeters that represent 1 square meter in the scale drawing, we need to set up a proportion.

First, let's convert the area of the shaded area in square meters to square centimeters. Since 1 m² = 10,000 cm², the shaded area in square centimeters is 7 m² × 10,000 cm²/m² = 70,000 cm².

Next, we can set up the proportion: 12 cm represents 70,000 cm². Let x represent the number of square centimeters that represent 1 square meter.

12 cm / x = 70,000 cm² / 1 m²

To solve for x, we can cross multiply:

12 cm × 1 m² = x × 70,000 cm²

12 cm × 1 m² = 70,000 cm² × x

12 × 1 = 70,000 × x

x = 12 / 70,000

Simplifying, we get x = 3/5. Therefore, in the scale drawing, 3/5 square centimeters represent 1 square meter.

User Serpentarius
by
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