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12 votes
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.

2 Answers

7 votes

Answer: D

Explanation:

A = LW


√(x) * 5 = 20


(√(x) * 5)^(2) = 20^(2) (square both sides)

x * 25 = 400

25x = 400


(25x)/(25) = (400)/(25) (divide both sides by 25)

x = 16


√(16) = 4

x = 16, and the width is 4.

User Negabaro
by
5.8k points
10 votes

Answer:

D

Explanation:

5(
√(x)) = 20 Divide by 5


√(x) = 4 Square both sides

x = 16

Widths can't be negative

User SKLTFZ
by
6.0k points