Question

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.
Please help thank you:)

Answer 1

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 $k^2$

Volume (3D) related by scale factor $k^3$

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 = $k^2$ * 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.