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.

Answer 1

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.