If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm² , then the area of the triangle DEF is:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)

Answer 1

Given:

∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm².

Concept used:

In two similar triangles,

Ratio of their area is equal to ratio of the squares of their corresponding sides.

Calculations:

According to the question,

Area of ∆ABC : Area of ∆DEF = BC² : EF²

⇒80 : Area of ∆DEF = 4² : 5²

⇒Area of ∆DEF = 25 × 80/16

⇒Area of ∆DEF = 125

Hence, The Required value is 125 cm².

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