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Answer :
Final answer:
The new rectangle with the same length and twice the width has a perimeter of 20.8 inches.
Explanation:
Timur cuts out a rectangle with a perimeter of 16.6 inches and a length of 6.2 inches.
First, we need to calculate the width of this rectangle. Since the perimeter (P) is the sum of all sides, or
P = 2(length) + 2(width), we can find the width by rearranging the formula to width = (perimeter/2) - length.
So, the width is (16.6/2) - 6.2 = 8.3 - 6.2
= 2.1 inches.
Next, Timur cuts out another rectangle with the same length of 6.2 inches but a width that is twice as much.
The new width is therefore 2.1 inches x 2 = 4.2 inches.
To find the new perimeter, we simply add twice the length and twice the new width:
2(6.2) + 2(4.2) = 12.4 + 8.4
= 20.8 inches.
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