Question

A maple tree shades an area of 72 m2. In a scale drawing, the maple tree

shades an area of 123 cm2. In the scale drawing, how many square centimeters
represent 1 m?

Answer 1

To determine the scale of the drawing, divide the shaded area in the scale drawing by the actual shaded area; 123 cm² (scale drawing area) / 72 m² (actual area) equals 1.7083 cm²/m², indicating that on the scale drawing, 1 m² is represented by 1.7083 cm².

Step-by-step explanation:

The question involves a scale drawing of a maple tree that shades an area of 72 m², represented on the drawing as 123 cm². To determine how many square centimeters represent 1 m² on the scale drawing, we use a scale factor conversion.

Since 1 m² is 100 cm × 100 cm, we convert square meters to square centimeters by multiplying by 10,000 (because 1 m = 100 cm). Therefore, to find the scale of the drawing in terms of square centimeters per square meter, we divide the scaled area in cm² by the actual area in m²:

123 cm² / 72 m² = 1.7083 cm²/m²

This means that on the scale drawing, 1.7083 cm² represent 1 m².