Question

The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.

Answer 1

Answer:

D

Step-by-step explanation:

5($\sqrt{x}$) = 20 Divide  by 5

$\sqrt{x}$ = 4        Square both sides

x = 16

Widths can't be negative

Answer 2

Answer: D

Step-by-step explanation:

A = LW

$\sqrt{x}$ * 5 = 20

$(\sqrt{x} * 5)^{2} = 20^{2}$  (square both sides)

x * 25 = 400

25x = 400

$\frac{25x}{25} = \frac{400}{25}$  (divide both sides by 25)

x = 16

$\sqrt{16} = 4$

x = 16, and the width is 4.