The sides of similar triangles ΔPQR and ΔDEF are in the ratio 5 ∶ 6. If area of ΔPQR is equal to 75 cm^{2}, what is the area of ΔDEF?

Option 3 : 108 cm2

**Given:**

ΔPQR ∼ ΔDEF

The sides of ΔPQR and ΔDEF are in the ratio 5 ∶ 6.

ar(PQR) = 75 cm^{2 }

**Concepts used:**

The ratio of area of similar triangles is equal to the square of the ratio of sides of corresponding triangles.

**Calculation:**

ΔPQR ∼ ΔDEF

ar(PQR)/ar(DEF) = (Side of ΔPQR/Side of ΔDEF)^{2 }

⇒ 75 cm^{2}/ar(DEF) = (5/6)^{2}

⇒ ar(DEF) = 108 cm^{2 }

**∴ Area of ΔDEF is equal to 108 cm ^{2}.**