Question

find the exact area of the rectangle. area = enter your next step here ft²

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l=\sqrt{10}$ ft and $w = \sqrt{5}$ ft.

Step2: Calculate the product

$A=\sqrt{10}\times\sqrt{5}=\sqrt{10\times5}=\sqrt{50}$.

Step3: Simplify the square - root

$\sqrt{50}=\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}=5\sqrt{2}$ ft².

Answer:

$5\sqrt{2}$