The length l style=”color:rgb(0,0,0);background-color:transparent;”> of a rectangle is increasing increasing at a rate of 4 4 StartFraction cm Over sec EndFraction cmsec while the width w is decreasing decreasing at a rate of 4 4 StartFraction cm Over sec EndFraction cmsec. When l equals 15 cm l=15 cm and wequals =8 8 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.The rate of change of the area of the rectangle is nothing StartFraction cm squared Over sec EndFraction cm2sec.
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