Question

The figure shows a rectangle that is approximately l=6 cm and h = 1 cm high.

(a) Draw a rectangular strip along the rectangular region showing a small increase in length.

(b) Draw a rectangular strip along the rectangular region showing a small increase in height.

(c) Use the results in parts (a) and (b) to identify the measurement that has more effect on area A of the rectangle.

(d) Verify your answer in part (c) analytically by comparing the value of dA when dl = 0.01 and when dh= 0.01.