The length of a rectangle is (3 + √(7) )m and it's width is (1 + 2 √(7) )n What is the area of the rectangle?​

Question

The length of a rectangle is


`(3 + √(7) )m`
and it's width is

`(1 + 2 √(7) )n`
What is the area of the rectangle?​

Answer 1

`(17 + 7 √(7) ) {m}^(2)`

Explanation:

Area of a rectangle = Length × Width

Length given =
`(3 + √(7) )m`

Width given =
`(1 + 2 √(7) )m`

Area of the rectangle =

`(3 + √(7) ) * (1 + 2 √(7) )`

`= > 3(1 + 2 √(7) ) + √(7) (1 + 2 √(7) )`

`= > 3 + 6 √(7) + √(7) + 2 * { (√(7) )}^(2)`

`= > 3 + 6 √(7) + √(7) + 2 * 7`

`= > 14 + 3 + 7 √(7)`

`= > (17 + 7 √(7) ) {m}^(2)`