Question

the length of the rectangle shown above is (x+9). the width of the rectangle is (2x+3). Find the area of the rectangle.

Answer 1

(x+9)(2x+3)=2x^2+3x+18x+27=2x^2+21x+27

Answer 2

Answer: Area of rectangle =2x² + 21x + 27

Explanation:

Given :

Length of the rectangle = x + 9

Width of the rectangle = 2x + 3

We have to find area of the rectangle ?

Area of rectangle = Length × Breadth

Area of the rectangle =
`(x +9) * (2x+3)`

Area =
`x * (2x+3) + 9 * ( 2x+3)`

Area =2
`x^(2)` +
`3* x` +
`9* 2x` +
`9* 3`

Area =
`2x^(2)` +
`3x` +
`18x` +
`27`

Area =
`2x^(2) + 21x + 27`

∴ Area of rectangle =
`2x^(2) +21x+ 27`