The length of a rectangular wire frame with dimensions of 12 cm * 8 cm increases at the rate of 0.5 cm per second, while its width changes such that the perimeter remains the same. What part of the area of the initial rectangle is the area of the final rectangle after 8 seconds?

Question

Keenan Schultz

Mathematics

12 July, 21:47

The length of a rectangular wire frame with dimensions of 12 cm * 8 cm increases at the rate of 0.5 cm per second, while its width changes such that the perimeter remains the same. What part of the area of the initial rectangle is the area of the final rectangle after 8 seconds?

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Answers (1)

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Pongo · Answer 1

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.