Question

The perimeter of a rectangular garden is 114 meters. The length is 6 meters longer than twice the width. Find the dimensions of the garden.

Answer 1

We know that the equations for the perimeter of a rectangle is P=2l+2w .
l being lenght and w being width

Answer 2

So now we will substitute what we are given into that equation

Answer 3

p=114
L=6+2w

Answer 4

114=2(6+2w)+2w

Answer 5

So with some simplification and combining like terms and a little algebra we come to
114=12+6w
102=6w
w=6

Answer 6

And since we know W we can easily find the length

Answer 7

so it would be 114=2l+6?

Answer 8

Close but in the perimeter equation it is p=2L+2w
so it would be 114 =2L+2(6)