The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 4.5 cm2.
What is the area of triangle A?
A.
27 cm2
B.
18 cm2
C.
9 cm2
D.
36 cm2
The area of a triangle is calculated using the formula: Area = (base x height) / 2.
Let the base of triangle B be b and the height be h. Then, the area of triangle B is 4.5 cm^2:
4.5 = (b x h) / 2
9 = b x h
Now, if the dimensions of triangle A are twice that of triangle B, then the base of triangle A is 2b and the height is 2h. The area of triangle A is calculated as:
Area = (2b x 2h) / 2
Area = 4(b x h)
Area = 4(9)
Area = 36 cm^2
Therefore, the correct answer is:
D. 36 cm^2