SOLUTION: Write the simplest form the ratio of the shaded area of the figure to the total area of the figure. This is a box with a triangle in the middle. The length of the box is x+8...the

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Write the simplest form the ratio of the shaded area of the figure to the total area of the figure. This is a box with a triangle in the middle. The length of the box is x+8...the       Log On

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Question 317155: Write the simplest form the ratio of the shaded area of the figure to the total area of the figure. This is a box with a triangle in the middle. The length of the box is x+8...the width of the box is x+4. The shaded triangle inside has a length of x+4....the width is 2x. Once again the back of the box says that the answer is x
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x+8 but I am not sure how they got there. The most important part!!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the box is,
Ab=L%2AW=%28x%2B8%29%28x%2B4%29
The area of the triangle is,
At=%281%2F2%29bh=%281%2F2%29%28x%2B4%29%282x%29=x%28x%2B4%29
The ratio of Triangle area to Box area is,
At%2FAb=%28%281%2F2%29%28x%2B4%29x%29%2F%28%28x%2B8%29%28x%2B4%29%29
At%2FAb=%28x%2Across%28%28x%2B4%29%29%29%2F%28%28x%2B8%29%2Across%28%28x%2B4%29%29%29
highlight%28At%2FAb=x%2F%28x%2B8%29%29