The perimeter of a rectangular garden is 68 feet. the length of the garden is 4 more than twice the width. what are the dimensions of the garden?

The perimeter of a rectangle is the length of all 4 sides added together. Since it is a rectangle, we know that it has 2 pairs of identical parallel sides, so the perimeter will be 2 × the length plus 2 times the width. The problem gives us some key information so that we can solve for the dimensions. If we let x equal the width, the length will be 2x + 4 so the equation will be...

2(x) + 2 (2x + 4) = 68
2x + 4x + 8 = 68
6x + 8 = 68
6x = 60
x = 10

Since we made the width x...

Width = 10 feet

Length = 2x + 4
Length = 2 (10) + 4

Length = 24 feet

Dimensions are 10 feet by 24 feet.

(1/x + 1)^2 + 6 (1/x + 1) +5