length of a rectangle is 3 metre less than four times its breadth if the perimeter of the rectangle is 94 metre find its length and breadth
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Answered by
1
Let, Breadth = \textbf{x}x
Length = \textbf{4x-3}4x-3
now,
we know that,
perimeter of rectangle = \textbf{2(L+B)}2(L+B)
but given that p = 94 m
therefore,
94 = 2(4x-3+x)
→ 94 = 2(5x-3)
→ 94/2 = 5x-3
→ 47+3 = 5x
→ 5x = 50
→ x = 50/5
→ x= 10
Therefore,
\textbf{Length = 4x-3 = 40-3 = 37m}Length = 4x-3 = 40-3 = 37m
\textbf{Breadth = 10m}Breadth = 10m
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Answered by
2
Given,
Perimeter = 94 m
Let the breath of rectangle be x,
Then length = 4x-3 m
Perimeter of rectangle = 2*(l+b)
94 = 2*(4x-3+x)
94 = 2*(5x-3)
94 = 10x-6
94+6 = 10x
10x = 100
x = 100/10
x = 10
Therefore, the length is 10x-3 = 27 m
And breadth is x = 10 m
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