Each side of a square is increasing at a rate of 7 cm/s. at what rate is the area of the square increasing when the area of the square is 81 cm2?

Question

Mathematics

Maritza Mahoney

26 May, 07:08

Each side of a square is increasing at a rate of 7 cm/s. at what rate is the area of the square increasing when the area of the square is 81 cm2?

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Answers (1)

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Dean Short · Answer 1

Consider this option:

1. initial_area_sq=a²=81 (where a - the length of the side), it means, that a=9 cm.

2. according to the condition new_a=a+7=9+7=16 cm.

new area_sq = (new_a) ²=256.

3. new_area_sq / initial_area_sq = 256/81≈3.160494. or 316.0494%.