# 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.

**Solution:**

Given, rectangle MNOP is made up of four congruent rectangles.

Area of one rectangle is 8 m²

Breadth of the rectangle is 2 m.

We have to find the __perimeter__ of MNOP.

__Area of rectangle__ = length × breadth

8 = length × 2

Length = 8/2

Length = 4 m

Perimeter of MNOP = sum of all sides

= MP + PO + ON + MN

From the figure,

MP = 2 + 4 + 2 = 8 m

PO = 4 m

ON = 2 + 4 + 2 = 8 m

MN = 4 m

Perimeter of MNOP = 8 + 4 + 8 + 4

= 16 + 8

= 24 m

Therefore, the perimeter of MNOP is 24 m.

**✦ Try This:** A rectangular lawn 90 m by 60 m has two roads, each 7 m wide, running through its middle, one parallel to its length and other parallel to its breadth. Find the cost of constructing the roads at Rs 120 per m²

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 77**

## 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.

**Summary:**

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 the perimeter of MNOP is 24 m

**☛ Related Questions:**

- In Fig. 9.32, area of ∆ AFB is equal to the area of parallelogram ABCD. If altitude EF is 16 cm long . . . .
- Ratio of the area of ∆ WXY to the area of ∆ WZY is 3 : 4 (Fig. 9.33). If the area of ∆ WXZ is 56 cm² . . . .
- Find the perimeter of the lawn. Rani bought a new field that is next to one she already owns (Fig. 9 . . . .

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