SSC CPO SI and ASI Model Paper 10

Question : 137 of 200

Marks: +1, -0

Perimeter of a rhombus is 180 cm and its shorter diagonal is 54 cm. A parallelogram of height 31 cm is constructed by taking a longer diagonal of rhombus as its base. Find the area of parallelogram.

$2200 cm^2$
$2110 cm^2$
$2232 cm^2$
$2310 cm^2$

Validate

Solution:

(3)

Side of rhombus

= 180/4= 45

cm
BE

= 54/2= 27

cm
1/2of the longer diagonal of rhombus

=√ {45^2 -27^2} = 36

Longer diagonal of rhombus= 36 × 2 = 72 cm
Base of parallelogram = 72 cm
Area of parallelogram

= 72 × 31= 2232 cm^2

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