Question

The sides of a triangle are given by

(3x2 − y2);(4x2−7xy+4y)and (−3x+7xy+8y2)
3x2 − y2;4x2−7xy+4yand (−3x+7xy+8y2)

.

Find its perimeter.

Answer 1

perimeter = 7x² + 7y² + 4y - 3x

Explanation:

the perimeter (P) is the sum of the 3 sides of the triangle , that is

P = 3x² - y² + 4x² - 7xy + 4y - 3x + 7xy + 8y² ← collect like terms

= (3x² + 4x²) + (- y² + 8y²) + (- 7xy + 7xy) + 4y - 3x

= 7x² + 7y² +0 + 4y - 3x

= 7x² + 7y² + 4y - 3x