△PQR and △ABC are two congruent triangles. If the area of △PQR is 225cm
2
, then the area of △ABC is:
- A15cm
2 - B112.5cm
2 - C25cm
2 - D225cm
2
Solution & Step-by-step Explanation
Congruent triangles are identical in both shape and size. Therefore, their corresponding sides, angles, and areas are exactly equal.
Given that △PQR≅△ABC:
Area(△ABC)=Area(△PQR)
Since Area(△PQR)=225cm
2
, it follows that:
Area(△ABC)=225cm
2
Given that △PQR≅△ABC:
Area(△ABC)=Area(△PQR)
Since Area(△PQR)=225cm
2
, it follows that:
Area(△ABC)=225cm
2