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SAT Prep Class: Finding the Area of a Shaded Region

SALE TODAY: Learn Piano on iOS http://bit.ly/PianoAppSale SAT Prep Question #5 Question: The large square has a side length of 9 and the small square has a side length of 2. What is the area (A) of the shaded region? This is a basic area problem but it has a twist. You're not looking for the area of the squares. Instead, you want the area of just the shaded region between them.? To solve this problem, you'll need to first find the area of the large square and then subtract the area of the small square. This will leave you with the space between them, which is the shaded part of the diagram.? In order to calculate the areas, you need to know that the formula for area is the length of one side multiplied by the length of another. It's also important to know that all the sides of a square have equal lengths. Solve the Problem 1. First you need to find the area of the large square. The problem provides you with the length of one side of the large square. Since it's a square, all the sides are equal. Therefore, all sides lengths are 9. Plug in this value to calculate the area:? A=(9)(9) A=81 2. Now you need to calculate the area of the small square. The problem states that the length of one side is 2, and since it's a square all sides are 2. You can plug this into the area formula to get:? A=(2)(2) A=4 3. Now that you know the area of both squares, you can use them to determine the area of the shaded region. Subtract the area of the small square from the area of the big square:? 81-4=77 The area of the shaded region is 77. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/area-of-the-shaded-region/
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