The area of the larger figure to the nearest tenth is: 56.6 sq. m.
What is the area of the similar figures?
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 k²
Volume (3D) related by scale factor k²
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 = k² * 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 = 56.6 sq. m.
Complete question is:
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.