SSC CHSL 2021 PYQ — Question 65

The correct answer is option 2 i.e. 9 : 4

ConceptUSed:

If two triangles are similar, ratio of the square of their sides is equal to the ratio of the areas of both the triangles.

Explanation:

According to the given question,

Δ ABC ~ Δ DEF, 

ratio of the areas of ΔABC and ΔDEF = ratio of squares of AB and DE respectively.

Since the ratio of the perimeters is given,

${AB\over DE} = {39.6 \over 26.4}$  (Ratio of the perimeters is equal to the ratio of sides)

⇒ ${AB \over DE} = {3 \over 2}$

Now ratio of areas = $\frac{ar ΔABC}{arΔDEF} = ({3 \over 2})^2$ = 9 : 4

HEnce the requied answer is 9 : 4.