Question

If two adjacent sides of a rectangle are 52 + 25 + 42 and 22 − 2 + 32 ,find its area.​

Answer 1

Step-by-step explanation:

Given,

The adjacent sides of a rectangle are 5x

2

+25xy+4y

2

and 2x

2

−2xy+3y

2

So,

Area of rectangle = Product of two adjacent sides

= (5x

2

+25xy+4y

2

)(2x

2

−2xy+3y

2

)

= 10x

4

−10x

3

y+15x

2

y

2

+50x

3

y−50x

2

y

2

+75xy

3

+8x

2

y

2

−8xy

3

+12y

4

= 10x

4

+40x

3

y−27x

2

y

2

+67xy

3

+12y

4

Thus,

The area of the rectangle is 10x

4

+40x

3

y−27x

2

y

2

+67xy

3

+12y

4

.