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A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?.
a. 6 by 6
C. 4 by 9
b. 3 by 12
d. 4 and 8
Please select the best answer from the choices provided

Respuesta :

Answer:

B. 3 by 12

Step-by-step explanation:

The rectangle is four times as long as it is wide,

(3 times 4=12)

and has an area of 36

(3 times 12=36)

so this is the correct answer.

If the area of the given rectangle is 36 square inches, then the length of rectangle is 12 inches and the breadth of rectangle is 3 inches.

What is area?

"Area is the quantity that expresses the extent of a region on the plane or on a curved surface."

What is rectangle?

"A rectangle is a shape with four straight sides and four angles of 90 degrees (right angles)."

Area of rectangle = 36 square inches

Let the width of rectangle be y

Length of rectangle be 4y

Area of rectangle = length × breadth

y×4y = 36

[tex]4y^{2} = 36[/tex]

[tex]y^{2}=9\\y=\sqrt{9}[/tex]

[tex]y=3[/tex]

Hence, the width of the rectangle is 3 inches and the length of the rectangle is 12 inches.

To learn more about area of rectangle here

https://brainly.com/question/20693059

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