## At A Glance

### SAT Prep Class: Finding the Area of a Rectangle

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #19 Question: In the provided rectangle, the length of one side is 7 and the perimeter (P) is 18. Find the area (A) of the rectangle.? To solve this problem, you need to know that the perimeter of a rectangle equals the length times the width.?Since the problem provides the length and the perimeter, you can use them to find the width of the rectangle and then solve for the area. You will also need to know that the perimeter of a rectangle equals twice the width plus twice the length.? Solve the Problem 1.?Use the equation P=2(w)+2(l) to solve for the width. Plug in the value of the perimeter and the length to get 18=2(w)+2(7), which you can simplify to 18=2(w)+14.? 3. Now simplify the problem further to solve for "w." Do this by subtracting 14 from both sides to get 18-14=2(w)=4. If 2(w)=4, then divide both sides by 2 to get w=2.? 4. Now you know the length and width of the rectangle. Plug them into the equation for the area, which is A=l(w). This will give you A=7x2=14. Therefore the area of the rectangle is 14. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/area-of-a-rectangle/
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