Samantha’s rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. she wants to use the same length of ribbon to frame a circular clock. what is the maximum radius of the circular clock? round to the nearest whole number.
(justify)

7 inches

Step-by-step explanation:

The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.

Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches

Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference should be 44 inches.

Therefore, the maximum radius of the circular clock would be 7 inches.

The maximum radius of the circular clock is 7 in

Step-by-step explanation:

We must calculate the perimeter of the rectangle

We know that the rectangle is 10 in x 12 in

If we call L the rectangle length and we call W the width of the rectangle then the perimeter P is:

Where

Now we know that the perimeter of a circle is:

In order for the perimeter of the circumference to be equal to that of the rectangle, it must be fulfilled that:

We solve the equation for r

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step-by-step explanation:

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315