Question

Triangle A is a scaled version of triangle B. The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 40.5 sq cm. What is the area of triangle A?

Answer 1

Step-by-step explanation:

the lengths of any line (side, height,...) in A is twice as long as in B.

now, the area of a triangle is

baseline × height / 2

so, two lines are multiplied. that means the factor 2 gets multiplied in 2 times. and that means the area increases by the factor 2×2 = 4

therefore, the area of A is

40.5 × 4 = 162 cm²