Is it possible to design a rectangular park of perimeter 80 m and area 400 sq.m? If so, find its length and breadth.
Answers
Step-by-step explanation:
length =20cm
breadth =20cm
Given : a rectangular park of perimeter 80 m and area 400 m²
To find : is design possible ? find length & Breadth
Solution:
Let say Length = L
& Breadth = B
Perimeter = 80 m
=> 2(L + B) = 80
=> L + B = 40
=> L = 40 - B
Area = 400 m²
=> LB = 400
=> (40 - B)B = 400
=> 40B - B² = 400
=> B² - 40B + 400 = 0
=> ( B - 20)² = 0
=> B = 20
L = 40-B = 20
Length = 20 & Breadth = 20
YES , its possible to Design a rectangular Park of perimeter 80 m and area 400 m²
Note : (Square is a special Case of rectangle where adjacent sides are also equal )
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