Question

Miss Sandy is fencing in her rectangular backyard which is 3x^2 feet wide and 4xy + 5x^3 y^2 feet long. Find perimeter of yard How much fencing does she need. Use mathematics to justify your answer

Answer 1

Given:

Width of rectangular backyard =
`3x^2` feet

Length of rectangular backyard =
`4xy+5x^3y^2` feet

To find:

The perimeter of yard.

Solution:

Formula or perimeter of a rectangle is

`Perimeter=2(length +width)`

Using this formula, the perimeter of the rectangular backyard is

`Perimeter=2(4xy+5x^3y^2+3x^2)`

`Perimeter=8xy+10x^3y^2+6x^2`

Therefore, the perimeter of the rectangular backyard is
`8xy+10x^3y^2+6x^2` feet. So,
`8xy+10x^3y^2+6x^2` feet fencing is needed.