Triangle PQR has sides 6 cm, 8 cm and 10 cm. Triangle XYZ is similar to triangle PQR with a scale factor of 2. Which of the following gives the area of triangle XYZ?

Step-by-step solution

1. Compute the area of triangle PQR: $Area=\frac{1}{2}\times 6\times 8=24$.
2. Remember that if two triangles are similar with a scale factor k, their areas scale by $k^2$.
3. With scale factor 2, area scaling factor is $2^2=4$.
4. Multiply the area of PQR by 4: $24\times 4=96$.
5. Hence the area of triangle XYZ is 96 cm${}^2$.

Concept tested: Area scaling in similar triangles

Published 13 October 2026 · How this solution was prepared and checked