A 20-metre length of wire is used to fence a rectangular field with dimensions in the ratio 3 : 1.
Calculate the area of the fi eld.
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Answered by
6
Heya mate, Here is ur answer
Let the common ratio be x.
Then length=3 x
Breadth= x
Given that the wire required = 20 m .
This wire is fenced around the field. So it also gives the perimeter of the field.
So, Perimeter of the field = 20 m
2(l+ b)=20
2(3x+x)=20
2×4x=20
8x=20
x=20/8
x=2.5
So, length=3×2.5
=7.5 m
Breadth=2.5 m
Area of field=l×b
=7.5×2.5
=18.75 m^2
Warm regards
@Laughterqueen
Be Brainly✌✌✌
Let the common ratio be x.
Then length=3 x
Breadth= x
Given that the wire required = 20 m .
This wire is fenced around the field. So it also gives the perimeter of the field.
So, Perimeter of the field = 20 m
2(l+ b)=20
2(3x+x)=20
2×4x=20
8x=20
x=20/8
x=2.5
So, length=3×2.5
=7.5 m
Breadth=2.5 m
Area of field=l×b
=7.5×2.5
=18.75 m^2
Warm regards
@Laughterqueen
Be Brainly✌✌✌
Answered by
5
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⊙ Perimeter of a rectangle = 2(l+b)
=> so, let their dimension be x
so,
![2(3x + x) = 20metre 2(3x + x) = 20metre](https://tex.z-dn.net/?f=2%283x+%2B+x%29+%3D+20metre)
![2 \times 4x = 20metre 2 \times 4x = 20metre](https://tex.z-dn.net/?f=2+%5Ctimes+4x+%3D+20metre)
![8x = 20 8x = 20](https://tex.z-dn.net/?f=8x+%3D+20)
![x = \frac{20}{8} = \frac{5}{2} m x = \frac{20}{8} = \frac{5}{2} m](https://tex.z-dn.net/?f=x+%3D++%5Cfrac%7B20%7D%7B8%7D++%3D++%5Cfrac%7B5%7D%7B2%7D+m)
so, the length is 3x
![3 \times \frac{5}{2} = 7.5m 3 \times \frac{5}{2} = 7.5m](https://tex.z-dn.net/?f=3+%5Ctimes++%5Cfrac%7B5%7D%7B2%7D++%3D+7.5m)
so, breadth is x
![\frac{5}{2} = 2.5m \frac{5}{2} = 2.5m](https://tex.z-dn.net/?f=+%5Cfrac%7B5%7D%7B2%7D++%3D+2.5m)
so,the area of a rectangle is
![l \times b \\ \\ 7.5 \times 2.5 = 18.75m {}^{2} l \times b \\ \\ 7.5 \times 2.5 = 18.75m {}^{2}](https://tex.z-dn.net/?f=l+%5Ctimes+b+%5C%5C++%5C%5C+7.5+%5Ctimes+2.5+%3D+18.75m+%7B%7D%5E%7B2%7D+)
![hope \: it \: helps \: you hope \: it \: helps \: you](https://tex.z-dn.net/?f=hope+%5C%3A+it+%5C%3A+helps+%5C%3A+you)
![<marquee > prabhudutt <marquee > prabhudutt](https://tex.z-dn.net/?f=+%26lt%3Bmarquee+%26gt%3B+prabhudutt)
ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ
ⓐⓝⓢⓦⓔⓡ
==================================
⊙ Perimeter of a rectangle = 2(l+b)
=> so, let their dimension be x
so,
so, the length is 3x
so, breadth is x
so,the area of a rectangle is
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