Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given that,

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

The width of the rectangle, $b=(1+2\sqrt{7} )\ m$

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

$A=l\times b$

Put all the values in the above formula.

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

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