A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?

A. 5 inches
B. 8 inches
C. 6 inches
D. 7 inches

Respuesta :

It can be 8 inches since 8x2+6x2=28

Answer:

Option B - 8 inches.    

Step-by-step explanation:

Given : A rectangle is no more than six inches wide, and its perimeter measures 28 inches.

To find : At least how long is the rectangle?

Solution :

The perimeter of the rectangle is given by

[tex]P=2(l+b)[/tex]

Where, P is the perimeter P=28 inches.

l is the length of the rectangle

b is the breadth of the rectangle b=6 inches.

Substitute the value in the formula,

[tex]28=2(l+6)[/tex]

[tex]\farc{28}{2}=l+6[/tex]

[tex]14=l+6[/tex]

[tex]l=14-6[/tex]

[tex]l=8[/tex]

Therefore, The length of the rectangle is at least 8 inches.

So, Option B is correct.

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