Step-by-step explanation:
3.725290298e19
The question is related to application of derivatives .
Let A represents the area and s represent the side length .
Differentiating both sides with respect to t
It is given that ds/dt = 4cm/s
Substituting the values of s, ds/dt and on multiplying them, we will get
dA/dt = 2(5)(4) = 40 cm^2/s
Therefore rate of change of area when area= and rate of change of side is 4 cm/s is 40
The length of the hypotenuse is 10 feet
Answer:
392 ft²
Step-by-step explanation:
Break this area into two parts, that is, into two trapezoids. The first trapezoid, on the left, has length 8 ft and average length (30 ft + 27 ft)/2, so its area is (8 ft)(28.5 ft) = 228 ft ².
The second trapezoid has width 8 ft and average length (19 + 22)/2 ft, or 8 ft by 20.5 ft). The area of this part is 164 ft².
Thus, the total area is 164 ft² + 228 ft², or 392 ft²