Question

Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing the rug, she needs to know the side measure. She knows that the area of the rug is A square feet. Which of the following functions would best model the situation above?

Answer 1

Options:

A.) square root

B.) exponential

C.) absolute value

D.) cube root

Answer : A) square root

We know area of square having side 's' = s* s = $s^2$

For example

Area of square =  $16 cm^2$

To find side we take square root

Area = $(side)^2$

16 = $(side)^2$

Take square root on both sides

$\sqrt{16}= \sqrt{side^2}$

4= side

Betsy knows that the area of the rug is A square feet.

Area A = $(side)^2$

$\sqrt{A} = side$

So answer is square root.

Answer 2

You would take the square root of the area of the rug to find the sidelength