Question

The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.
What is the area, in square feet, of the shaded region?

What is the area, in square feet, of the non-shaded region?

Answer 1

Answer: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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