the length of a rectangular garden is 6m more than thrice of its breadth . if it...

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August 2021 2 7 Report

the length of a rectangular garden is 6m more than thrice of its breadth . if its perimeter is 100 m, find the dimensions of the garden

tanya2601 Let the breadth(b) of the rectangular garden be x,
therefore,
length (l) = 6 + 3x .....(i)

Perimeter of rectangle = 2(l+b)
100 m = 2(6+3x+x)
100 = 2(6+4x)
100 = 12+8x
8x = 100-12
x = 88/8
x = 11

now,
putting x = 11 in equation (i), we get:
6 + 3×11
6 + 33
39

therefore,
Length = 39 m
Breadth= 11 m

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