Answer:
243 m²
Step-by-step explanation:
Given the scale is 4 : 6 = 2 : 3 , then
scale of areas = 2² : 3² = 4 : 9
area of scale drawing = 12 × 9 = 108 cm²
let x be the actual area then using proportion
[tex]\frac{4}{108}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )
4x = 972 ( divide both sides by 4 )
x = 243
Actual area = 243 m²
