Question

The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.

Answer 1

`y = x^(2) + 3x + 1`

Explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

`4x^(2) + 3x - 4 = x^(2) + 2x + 15 + x^(2) -x - 10 + x^(2) - x - 10 + y`

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

`x^(2) + 3x + 1 = y`