Can someone please show me how to work this problem Figure (a) shows a vacant lo
ID: 2833152 • Letter: C
Question
Can someone please show me how to work this problem
Figure (a) shows a vacant lot with a 110-ft frontage L in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in the figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 110], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 110]. To estimate the area of the lot using sum of the areas of rectangles, we divide the interval [0, 110] into five equal subintervals of length 22ft. Then, using surveyor?s equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the values of f(x) at x = 11, 33, 55, 77, 99. What is the approximate area of the lot?Explanation / Answer
given area will be =sum of area of all rectangles=(80+100+110+100+80)*22 =10340 ft^2 (ans)