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The Altitude of a Triangle Is Increasing at a Rate 1 cm/min1 \mathrm {~cm} / \mathrm { min }

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The altitude of a triangle is increasing at a rate of 1 cm/min1 \mathrm {~cm} / \mathrm { min } while the area of the triangle is increasing at a rate of 2 cm2/min2 \mathrm {~cm} ^ { 2 } / \mathrm { min } . At what rate is the base of the triangle changing when the altitude is 10 cm10 \mathrm {~cm} and the area is 100 cm2100 \mathrm {~cm} ^ { 2 } .

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