Question

PLEASE HELPP!!!

The dimensions of triangle B are twice the dimensions of triangle A. The area of triangle A is 28 cm2.


What is the area of triangle B?

A.

112 cm2

B.

18 cm2

C.

12 cm2

D.

27 cm2

Answer 1

Area of triangle B is 112 cm²

Option A is correct option.

Explanation:

The dimensions of triangle B are twice the dimensions of triangle A.

Area of triangle A = 28 cm²

We need to find area of triangle B

We know that if base = b and height = h for triangle A

The area of triangle A will be:
`Area_A=(1)/(2)* b * h`

The dimensions for triangle B will be:

`h_B = 2 h_A\\b_B = 2 b_A`

Putting in formula we get:

`Area_B=(1)/(2)* b* h \\Area_B=(1)/(2)* (2b)* 2(h)\\Area_B=4( (1)/(2)* b* h)\\Area_B=4(Area_A)`

SO, we get
`Area_B=4(Area_A)\\`

We have Area_A = 28 cm²

Area of triangle B Area _B is:

`Area_B=4(28)\\Area_B=112\:cm^2`

So, Area of triangle B is 112 cm²

Option A is correct option.