The widths $(in$ meters$)of$ a kidney$-$shaped swimming pool were measured $at5-$meter intervals $as$ indicated $in$ the figure below. $of$ the pool $in$ square meters. Determine each $of$ the following values.

$a=$

$b=$

$x=$

$x_0=$

$x_1=$

$x_2=$

$x_3=$

$x_4=$

$x_5=$

$x_6=$

$x_7=$

$x_8=$

Use Simpson's rule with $n=8to$ estimate the area $of$ the pool. $(Round$ your answer $to$ the nearest square meter.$)$