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A rectangular section of granite is being cut so that the length is 3 times the width. The perimeter of the section must be less than 320 inches?
Which statement is true?

A.
The length of the granite must be at least 80 inches.
B.
The length of the granite must be less than 100 inches.
C.
The length of the granite must be at least 100 inches.
D.
The length of the granite must be less than 120 inches.

Respuesta :

The length of the granite must be less than 120 inches. Then the correct option is D.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A rectangular section of granite is being cut so that the length is 3 times the width.

The perimeter of the section must be less than 320 inches.

The perimeter of the rectangle will be given with inequality will be

P > 2(L + W)

We have

L = 3W

Then the inequality equation will be

320 > 2 (L + L/3)

320 > 2 (4L/3)

320 > 8L/3

    L < 120 inches

Then the length of the granite must be less than 120 inches.

Then the correct option is D.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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