Question

HELP ASAPPPP!!!!!!!

1. In the figure below, ABC ~ PQR. If the area of ABC is 40 cm2, what is the area of PQR? Show your work.

Answer 1

`90cm^2`

Explanation:

The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.

The scale factor from ABC to PQR is
`k=(6)/(4)=1.5`

The area of triangle PQR will change by
`k^2=1.5^2=2.25` centimeters square.

Since we know the area of triangle ABC to be
`40cm^2`, the area of triangle PQR
`=2.25* 40=90cm^2`

Answer 2

The area of the triangle PQR is 90 cm^2.

Explanation:

We are given two triangles, ABC and PQR, which are similar to each other.

If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.

Given that area of the triangle ABC is
`40cm^2`, we are to find the area of the triangle PQR.

Finding the scale factor
`k=(6)/(4) =1.5`

So square of this scale factor will be
`k^2=(1.5)^2=2.25`

Area of triangle PQR =
`2.25 * 40` = 90cm^2