15.08 Simpson's rule
Interactive practice questions
Simpson's rule is used to estimate the area of a shape with an irregular boundary, once it has been divided into two equal parts from a baseline, using the formula $A=\frac{h}{3}\left(d_f+4d_m+d_l\right)$A=h3(df+4dm+dl). Considering the attached diagram:
Complete the following table.
| $h$h | $=$= | $\editable{}$ |
| $d_f$df | $=$= | $\editable{}$ |
| $d_m$dm | $=$= | $\editable{}$ |
| $d_l$dl | $=$= | $\editable{}$ |
Hence, assuming all measurements are in meters, use Simpson's rule to find an approximate value for the area.
Simpson's rule is used to estimate the area of a shape with an irregular boundary, once it has been divided into two equal parts from a baseline, using the formula $A=\frac{h}{3}\left(d_f+4d_m+d_l\right)$A=h3(df+4dm+dl). Considering the attached diagram:
Use Simpson's Rule to approximate the area of the block of land shown, assuming all measurements are in meters.
Use Simpson's Rule to approximate the area of the block of land shown.