Question

A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

Answer 1

The area of a triangle in terms of height and base is A = 1/2*base*height

Suppose base = 6 cm and height = 12 cm. Then, A = 1/2*6*12 = 36 cm2.

If the base and height are scales by a factor of 5, b= 30 cm and h = 60 cm. Then, A = 1/2*30*60 = 900 cm2.

Thus the area of the resulting triangle is scaled by a factor of 25, which is 900 cm2.