A rectangle initially has dimensions 6cm by 8 cm. All sides begin increasing in length at a rate of 5 cm/s. At what rate is the area of the rectangle increasing after 24 s​?Let​ A, b, and h be the​ area, base, and height of a​ rectangle, respectively. Write an equation relating​ A, b, and h.

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Asked Oct 8, 2019
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A rectangle initially has dimensions 6cm by 8 cm. All sides begin increasing in length at a rate of 5 cm/s. At what rate is the area of the rectangle increasing after 24 s​?
Let​ A, b, and h be the​ area, base, and height of a​ rectangle, respectively. Write an equation relating​ A, b, and h.
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Expert Answer

Step 1

The initial dimensions of rectangle are 6cm by 8cm, where length is 6cm and width is 8cm.

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dl = 5cm /s and = 5cm/s dt dt

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Step 2

To determine at what rate the area of rectangle is increasing after 24 seconds.

Step 3

The area of rectangl...

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A lxw...(where l is length, w is width or height initially). Therefore, final length and width are respectively /, =1+tx dl (l,)-24 = 6+24x5 |(l, )1=24 = 126 W w+txdw (w)24 =8+24 x 5 (w)24 = 128

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