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
Question
Answer:
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
solved
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