The length and breadth of a rectangular field are 90 m and 40 m.If the area of rectangular field is equal to the area of a square field, find the perimeter of the square field.
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7
l= 90m
b= 40m
area of rectangular field = area of square field
So perimeter of rectangular field = area of square field
perimeter of rectangle= 2×l+b
2×130
=260
so therefore perimeter of a square field is also 260 cm*2
b= 40m
area of rectangular field = area of square field
So perimeter of rectangular field = area of square field
perimeter of rectangle= 2×l+b
2×130
=260
so therefore perimeter of a square field is also 260 cm*2
Answered by
10
First, we need to find the area of rectangle
area of rectangle = length × breadth
= 90 m × 40 m
=3600 m^2
area of rectangle = area of square
3600 m^2 = area of square
area of square = 3600 m^2
side × side = 3600 m^2
let the side be 'a'
then,
a×a = 3600m^2
a^2 = 3600m^2
square root of both sides
a = 60 m
The side of the square is 60 m
the perimeter of square = 4 × a
= 4 × 60 m
= 240 m
the perimeter of the square is 240 meters
area of rectangle = length × breadth
= 90 m × 40 m
=3600 m^2
area of rectangle = area of square
3600 m^2 = area of square
area of square = 3600 m^2
side × side = 3600 m^2
let the side be 'a'
then,
a×a = 3600m^2
a^2 = 3600m^2
square root of both sides
a = 60 m
The side of the square is 60 m
the perimeter of square = 4 × a
= 4 × 60 m
= 240 m
the perimeter of the square is 240 meters
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