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Question
Rectangle MNOP is made up of four congruent rectangles (see figure). If the area of one of the rectangles is 8 m2 and breadth is 2 m, then find the perimeter of MNOP.
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Solution
We have, area of one rectangle = 8 m2
And breadth = 2 m
We know that,
Area of rectangle = l × b
⇒ l × b = 8
⇒ l × 2 = 8
⇒ l = 4 m
Now, we have to find the perimeter of MNOP, which contains four congruent rectangles, it means they have same length and breadth.
∴ Perimeter of rectangle MNOP = MN + NC + CD + DO + PO + PF + FA + MA
= 4 + 2 + 4 + 2 + 4 + 2 + 4 + 2
= 24 m
Hence, the perimeter of MNOP is 24 m.
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