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.