Question

please answer these questions ​

Answer 1

Question - 8:

The adjacent sides of a rectangle are -6p³ + 7p²q² + pq and 7pq - 5p³ + 9p²q². Find its perimeter.

Answer:

Perimeter of rectangle = 2(l + b)

= 2(-6p³ + 7p²q² + pq + 7pq - 5p³ + 9p²q²)

= 2(-11p³ + 8pq + 16p²q²)

= 16pq - 22p³ + 32p²q²

∴ Perimeter = 16pq - 22p³ + 32p²q²

Question - 9:

The perimeter of the triangle is 7x² - 17xy + 5y² + 8 and two of its sides are 4x² - 7xy + 4y² - 3 and 5 + 6y² - 8xy + x². Find the third side of the triangle.

Answer:

Let the third side = A

Perimeter of triangle = Sum of three sides

7x² - 17xy + 5y² + 8 = 4x² - 7xy + 4y² - 3 + 5 + 6y² - 8xy + x² + A

7x²- 17xy + 5y²+ 8 = 5x²- 15xy + 10y²+2 + A

A = 7x²- 17xy + 5y²+ 8 - 5x² + 15xy -10y² -2

A = 2x² - 2xy - 5y² + 6

∴ Third side = 2x² - 2xy - 5y² + 6