JIPMAT 2021 (QA) - In a rhombus, the length of the two diagonals are 40m and 30m respectively. Its perimeter will be | PYQs + Solutions | AfterBoards
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JIPMAT 2021 (QA) PYQs

JIPMAT 2021

Geometry
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Quadrilaterals

Conceptual

In a rhombus, the length of the two diagonals are 40m and 30m respectively. Its perimeter will be

Correct Option: 1
Given: \newline Diagonal 1 (d1)(d_1) = 40m \newline Diagonal 2 (d2)(d_2) = 30m
In a rhombus, using diagonals to find side (s)(s):
s2=(d12)2+(d22)2s^2 = (\frac{d_1}{2})^2 + (\frac{d_2}{2})^2
s2=(402)2+(302)2s^2 = (\frac{40}{2})^2 + (\frac{30}{2})^2
s2=400+225s^2 = 400 + 225 \newline s2=625s^2 = 625 \newline s=25s = 25 meters
Perimeter of rhombus = 4s4s
=4×25= 4 × 25 \newline =100= 100 meters
Therefore, the perimeter is 100100 meters.

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