Q77 of 131 Page 226

Rectangle MNOP is made up of four congruent rectangles (Fig. 9.31). If the area of one of the rectangles is 8 m2 and breadth is 2 m, then find the perimeter of MNOP.


Area of one rectangle = 8 m2


And breadth = 2 m


We know that,


Area of a rectangle = l × b


⇒ l × 2 = 8


⇒ l = 4 m


MNOP is made up of 4 congruent rectangles, i.e. they have same dimensions (equal length and breadth).


∴ Perimeter of MNOP = PF + FA + AM + MN + NC + CD + DO + OP


= 2 + 4 + 2 + 4 + 2 + 4 + 2 + 4


= 24 m


The perimeter of MNOP = 24 m


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