Final answer:
The perimeter of the new rectangle, which is twice as wide as the original rectangle with a perimeter of 14 inches and a length of 5 inches, is calculated to be 18 inches.
Step-by-step explanation:
The student has asked about finding the perimeter of a new rectangle given the perimeter and dimensions of the original rectangle, and knowing that the new rectangle has the same length but twice the width.
- Calculation of the Perimeter of the New Rectangle
The original rectangle has a length of 5 inches and a perimeter of 14 inches. We can use the formula for the perimeter of a rectangle (P = 2(l + w)) to find its width.
- Let w be the width. Then, 14 = 2(5 + w).
- 14 = 10 + 2w
- 4 = 2w
- w = 2 inches.
The new rectangle is twice as wide, so its width is 2 * 2 = 4 inches.
Now we can find the perimeter of the new rectangle:
- P = 2(length + width)
- P = 2(5 + 4)
- P = 2(9)
- P = 18 inches
Therefore, the perimeter of the new rectangle is 18 inches.