Question

A triangle has a perimeter 12 cm and area 6 cm^2.

It is enlarged by a scale factor of 3 to produce a
similar triangle. What is the perimeter and area
of the new triangle?

Answer 1

The new triangle will have a perimeter of 36 cm, and an area of 18 cm2.

Explanation:

Given that the triangle whose perimeter is 12 cm and its surface is 6 cm2, and is lengthened by a scale factor of 3 to produce a similar triangle, the perimeter and surface of the new triangle arise from the following calculation:

Perimeter = 12 x 3 = 36 cm

Area = 6 x 3 = 18 cm2

Thus, the new triangle will have a perimeter of 36 cm, and an area of 18 cm2.