Question

The polynomials (5y2 + 4) cm, (3y2 – 6x) cm, and (7x + 3) cm represent the three sides of a triangle. What is the perimeter of the triangle?
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Answer 1

Answer:

Perimeter of a triangle = Sum of three sides of the triangle

Given sides are

$(5y {}^{2} + 4)cm \: \: \: \: (3y {}^{2} - 6x)cm \: \: and \: (7x + 3)$

So

Perimeter =

$(5y {}^{2} + 4) + (3y {}^{2} - 6x) + (7x + 3) \\ = 5y { }^{2} + 4 + 3y {}^{2} - 6x + 7x + 3 \\ = 5y {}^{2} + 3y {}^{2} - 6x + 7x + 3 + 4 \\ = (8y {}^{2} + x + 7) \: \: cm$