Part 3(a) Area of flower plot = ym² y = (25/2) π – (1/2(10-x)/2² π) = (25/2) π- (1/2((100-20x + x²)/4) π) = (25/2) π –(x²/8π + ((100-20x + x²)/8π) = (25/2) π - (2x² - 20x π +x²π)/8 = (25/2) π – (2x² - 20x + 100/8) π = (25/2) π – ((x² - 10x + 50)/4) = (25/2 – (x² - (x² - 10 x + 50)/4) π = ((10x - x²)/4) π b.
y = 16.5 m² 16.5 = ((10x - x²)/4) π 66 = (10x - x²) 22/7
66(7/22) = 10x -x² 0
= x² -10x + 21
0
= (x-7) (x - 3)
x=7 , x=3