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
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