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

Answer:

$y = x^{2} + 3x + 1$

Step-by-step explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

$4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y$

$4x^{2} + 3x - 4 = 3x^{2} - 5 + y$

$x^{2} + 3x + 1 = y$