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WINDOW REPLACEMENTS The amount of sunlight that comes into a room depends on the area of the windows in the room. What is the area of the window shown below? (Hint: Use the formula $\left.A=\frac{1}{2} b h .\right)$(GRAPH CANT COPY)

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93.6 \mathrm{in}^{2}

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We're looking at a window made up of panels that look something like what I've drawn here that is six inches long and 5.2 inches tall. So how big is this panel? That is what is the area using the formula Area A is equal to 1/2 base times height we can plug in that is equal to 1/2 six times 5.2. That is those air base and height. So what is six times 5.2? Let's use long multiplication to get that answer. We have 5.2 and six multiplied together six times two is 12 five times six is 30 and then add in the one to get 31. This decimal point is one spot in, so we move it one spot in to get 31.2. Therefore, this is going to be 1/2 times 31.2 and 1/2 is equal to 0.5, So 0.5 times 31.2. Let's do another long multiplication. This will give us well 31.2 times 0.5 multiply together five times two is 10 carry the 15 times one is one plus one is six or five times one is five plus one of six and then five times three is 15. The decimal has moved in one spot here in one spot here, that adds up to 212 to give us 15.6, so this is equal to 15.6 square inches. So we're done. No, not yet, because this is the area of one panel of the window, but the Windows A hexagon. It's got six panels total, so the final area is in fact going to be 15.6 square inches, multiplied by six panels. This will give us six times six is 36 carry the three six times five is 30 30 plus three gives us 33 carry the +36 times one is six plus three is nine. Decimal is one point in. So we put it here telling us that the area of the window is 93.6 square inches, and that is actually our final answer.

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