Question

19. The two adjacent sides of a rectangle are 5x2 - 3y2 and x2 + 2xy find the perimeter.​

Answer 1

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Answer 2

Answer:

12x² - 6y² - 4xy

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Let's take

l =  5x² - 3y²

And,

b =  x² + 2xy

Solving

2((5x² - 3y²) + (x² + 2xy))

= [(2 × 5x²) - (2 × 3y²)] + [(2 × x²) + (2 ×2xy)] (Distributive property)

= 10x² - 6y² + 2x² + 4xy

= 10x² + 2x² - 6y² + 4xy(here 10x² and 2x² are like terms... so we add them)

= 12x² - 6y² + 4xy

Therefore, the perimeter of the rectangle is 12x² - 6y² + 4xy

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