36 cm²s⁻¹ is the rate at which the area of the square is increasing.
Given each side of the square is increasing at a rate of 6cm/s
Area, A = s², s is the side length
=> {chain rule of differentiation}
= 6 cm/s
When A = 9 cm² => 9 = s²
=> s = √(9) => s = 3 cm
Hence, = 2 × 3 × 6 = 36 cm²s⁻¹
Hence, 36 cm²s⁻¹ is the rate at which the area of the square increases
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Jeremy's height is 67.2 inches
The diagram below represents situation
<h3>Proportion</h3>Proportion says that two ratios (or fractions) are equal. This a mathematical comparison between numbers.
Therefore, let's establish the proportion in this situation
Therefore,
cross multiply
72 × 56 = 60x
60x = 4032
divide both sides by 60
x = 4032 / 60
x = 67.2
Therefore, Jeremy's height is 67.2 inches
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