Question

The length of fencing required for a rectangular garden in terms of its width, x, if it’s length is 2 units more than 1.5 times it’s width

Answer 1

`5x+4` units.

Explanation:

Let x be the width of rectangle.

We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be:
`1.5x+2`.

To find the length of total fencing we need to figure out perimeter of rectangle with width x and length
`1.5x+2`.

Since we know that perimeter of a rectangle is two times the sum of its length and width.

`\text{Perimeter of rectangle}=2(\text{Length+Width})`

Upon substituting length and width of garden in above formula we will get,

`\text{Perimeter of rectangular garden}=2(1.5x+2+x)`

`\text{Perimeter of rectangular garden}=2(2.5x+2)`

Upon using distributive property we will get,

`\text{Perimeter of rectangular garden}=2*2.5x+2*2`

`\text{Perimeter of rectangular garden}=5x+4`

Therefore, the length of required fencing will be
`5x+4` units.