Question

9. (10 points) The base of a rectangle is decreasing at a rate of 2 ft/min and the height of the triangle is increasing at the rate of 1.5 ft/min. How fast is the area of the rectangle; changing when the base of the rectangle is 5 ft long and height is 3 f? state units. 10 /10: D.d.bahnlist wisdom

Answer 1

Solutions ; Given that base of a helt angle a decreasing at a rate of aftlmin i.e. db 1h 21.5 -aftlonis at sth at and here height of triangle increasing 3 at rete i.e. ah =1.5 ft/min · 5 db --2 ft han at dt Chew height of the= height of rectada) now Area of rectangle is Area = length of base of height & boneath) Arear bgch. da = = both thab at dr at we have B Gare =s & height = 3- ..aA S*(15) + 3(-2) dt = 5c1.s) + 3(-2) 7.5-6 dA a 1.5 ft I mis