Question

The length of a rectangle is (3 + √7)m and its width is (1 + 2√7)n. What is the

area of the rectangle?

Answer 1

`A=(17+7\sqrt7)\ m^2`

Explanation:

Given that,

The length of the rectangle,
`l=(3+\sqrt7)\ m`

The width of the rectangle,
`b=(1+2√(7) )\ m`

We need to find the area of the rectangle. We know that the area of the rectangle is given by :

`A=l* b`

Put all the values in the above formula.

`A=(3+\sqrt7)* (1+2\sqrt7)\\\\=3+3* 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2`

So, the area of the rectangle is
`(17+7\sqrt7)\ m^2`.