Explain why 9 is the best whole number estimate of 83−−√.

83 is between 82 and 85, and 83 is closer to 82 than it is to 85.

83−−√ is a perfect square

9 is a perfect square.

83 is between 81 and 100 and 83 is closer to 92 than it is to 102.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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step-by-step explanation: