monster4594 monster4594
  • 11-10-2018
  • Mathematics
contestada

The length of a rectangle is 2 more than 5 times its width. Find the perimeter of the garden if the perimeter is 160m.

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jeffreyjoe62 jeffreyjoe62
  • 11-10-2018

Take the breadth as x,as its the smallest value--(1)

Length is 2 more than 5 times the breadth--(2)

perimeter=160m

l=2+5x

b=x

Perimeter=2(l+b)

2(2+5x+x)

=2(2+6x)

Opening the brackets

=4+12x

4+12x=160

12x=160-4

x=156/12

=13

Therefore , by substituting the value of x

l=2+5*13=67m

b=13m

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