Answer:
56.65 sq. m.
Step-by-step explanation:
We would need to use "scale factor" for similar figures.
Lenths (1 dimensional) are related by a scale factor "k"
Area (2D) related by scale factor [tex]k^2[/tex]
Volume (3D) related by scale factor [tex]k^3[/tex]
Given Perimeter for both, we can say:
Perimeter of Smaller = k * Perimeter of Larger
20 = k * 34
k = 20/34
k = 0.5882
For area, we can similarly say:
Area of Smaller = [tex]k^2[/tex] * Area of Larger
19.6 = (0.5882)^2 * Area of Larger
19.6 = 0.3460 * Area of Larger
Hence,
Area of Larger = 19.6/0.3460 = 56.65 sq. m.
