Q:

The stadium has a form of a rectangle with two semicircles attached to the short sides. The long side of a rectangle is 2 times longer than the short one. a) Construct the expression for the area of the stadium in terms of x, where x denotes a shorter side of the rectangle b) Calculate the area if x=210 feet, where x denotes the shorter side. Take π=22/7

Accepted Solution

A:
Let x= denotes a shorter side of the rectangle  y= long side of a rectangle y=2x r=D/2=x/2 the area of the stadium A=x*y+ π *(x/2)² A=x*(2x)+π*(x²/4)- ------->2x²+π*x²/4=x²*(2+π/4)   a) the area of the stadium in terms of x  is  A=x²*(2+π/4)   b) if x=210 feet   π=22/7   A=(210)²*(2+π/4)------------------ >(210)²*(2+22/28)------ >(210)²*(78/28)   A=122850 feet²