If two adjacent sides of a rectangle are $5 x^{2} + 25 x y + 4 y^{2}$ and $2 x^{2} - 2 x y + 3 y^{2}$ , find its area.

Open in App

Solution

$\begin{matrix} A r e a o f R e c tan g l e = (5 x^{2} + 25 x y + 4 y^{2}) (2 x^{2} - 2 x y + 3 y^{2}) = 10 x^{4} - 10 x^{3} y + 15 x^{2} y^{2} + 50 x^{3} y - 50 x^{2} y^{2} + 75 x y^{3} + 8 x^{2} y^{2} - 8 x y^{3} + 12 y^{4} = 10 x^{4} + 12 y^{4} + 40 x^{3} y - 27 x^{2} y^{2} + 67 x y^{3} \end{matrix}$

Suggest Corrections

Similar questions

Two adjacent sides of a rectangle are $5 x^{2} - 3 y^{2}$ and $x^{2} - 2 x y$ . Find its perimeter. [3 MARKS]

Two adjacent side of a rectangle are $5 x^{2} - 3 y^{2}$ and $x^{2} - 2 x y$ . Find its perimeter. [3 MARKS]

5 x^{2} - 3 y^{2}

x^{2} + 2 x y

The two adjacent sides of a rectangle are 5 $x^{2}$ - 3 $y^{2}$ and $x^{2}$ + 2 $x y$ . Find its perimeter.

6 x^{2} + 4 y^{2} + 2 x y a n d x^{2} - 2 x + 4 x y

Join BYJU'S Learning Program