Question

In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.

The simplified expression for the area of rectangle ABCD is

Answer 1

`\text{Area}=(15(x+1))/(2(x-2))`

Explanation:

Length of the rectangle given in the picture =
`(5x+5)/(x+3)`

Width of the rectangle =
`(3x+9)/(2x-4)`

Area of the rectangle = Length × Width

=
`(5x+5)/(x+3)* (3x+9)/(2x-4)`

=
`(5(x+1))/(x+3)* (3(x+3))/(2(x-2))`

=
`(15(x+1)(x+3))/(2(x+3)(x-2))`

=
`(15(x+1))/(2(x-2))`

Therefore, area of the given rectangle is
`(15(x+1))/(2(x-2))`.