Answer:
Area of ΔPQR = 45 cm²
Step-by-step explanation:
From the given figure we can see that triangle ABC and triangle PQR are similar triangles.
If two triangles are similar the the ratio of area of two triangle is equal to the square of ratio of corresponding sides
To find the area of triangle PQR
Ar(ABC) = 20, AB = 4 cm and PQ =6 cm
From figure we can write,
Ar(ABC)/ar(PQR) = (AB/PQ)²
20/ar(PQR) = (4/6)²
20/ar(PQR) = 16/36
ar(PQR) = (36 x 20)/16 = 45 cm²
