To find the new perimeter of the garden after applying a scale factor of three, we first need to calculate the current perimeter of the garden and then apply the scale factor.
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Calculate the current perimeter: The formula for the perimeter (P) of a rectangle is: \[ P = 2(\text{length} + \text{width}) \] For her current garden:
- Length = 7 in
- Width = 5 in
So, the current perimeter is: \[ P = 2(7 + 5) = 2(12) = 24 \text{ in} \]
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Apply the scale factor of 3: Since the scale factor is 3, the new perimeter will be: \[ \text{New Perimeter} = 3 \times \text{current perimeter} = 3 \times 24 = 72 \text{ in} \]
Now, comparing the options given:
A. \(3(5 + 5 + 7 + 7) = 3(24) = 72\) in
B. \(2(5) + 2(7) = 2(5 + 7) = 24\) in
C. \(3(5) + 3(7) = 3(12) = 36\) in
D. \(3(10) + 2(7) = 44\) in
The correct equation to find the new perimeter of her garden is A. \(3(5 + 5 + 7 + 7) = 3(24) = 72\) in.
2 answers