CTET 2 Math and Science Jan 2021 Paper

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Question : 57 of 150

Marks: +1, -0

In trapezium

P Q R S, P Q ∥ S R

and the ratio of

P Q

to

S R

is

3: 2

. If the area of the trapezium is

480 {cm}^{2}

and the distance between

P Q

and

S R

is

12 {cm}

, then the length of

S R

is

$36 {cm}$
$48 {cm}$
$24 {cm}$
$32 {cm}$

Solution:

According to the question,

Let

P Q=3 x, S R=2 x

and height

Q M=12 {\cm}

Area of trapezium

={1}/{2}(P Q+S R) ×Q M

⇒480={1}/{2} ×(2 x+3 x) ×12

⇒5 x={480}/{6}

⇒x=16

∴SR = 2x=2×16=32\cm

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