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Byju's Answer
Standard X
Mathematics
Distance Formula
In the given ...
Question
In the given figure, find the perimeter of the rectangular frame PQRS.
A
30 units
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B
22 units
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C
26 units
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D
28 units
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Solution
The correct option is
D
28 units
Here,
Length of PQRS = PQ + QR + RS + SP
Points P and Q lie on the same vertical line and the length between them will be the difference between their
y - coordinates.
So, PQ = RS = |4 - (-4)|
= 8 units
Similarly,
Points P and S lie on the same horizontal line and the length between them will be the distance between their x - coordinates.
So, QR = SP = |3 - (-3)|
= 6 units
∴
Total length of frame PQRS will be:
= PQ + QR + RS + SP
= 8 + 6 + 8 + 6
= 28 units
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