A batch of cookies calls for 3/4 cup of flour. you want to make 1/2 of a batch. how much flour do you need?

3/8 of cup

To solve this we are going to use a proportion. We know that to make 1 batch of cookies we need 3/4 cup of flour, so to make 1/2 batch of cookies we'll need x cups of flour. In other words:

\frac{1batch>\frac{3}{4}cup.flour}{\frac{1}{2}batch>xcup.flour}

Now, we can express our proportion as a fraction and solve for x:

\frac{1}{\frac{1}{2} } =\frac{\frac{3}{4} }{x}

x=(\frac{3}{4} )(\frac{1}{2} )

x=\frac{3}{8}

You will need  3/8 of cup flour to make 1/2 of a bath of cookies.

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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