The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
Choose the correct choice from the following answers: A) 400 square meters B) 4000 square meters C) 20 square meters D) 2000 square meters E) 1000 square meters
Solution   If the ratio of the length to the width is 5:2, then the measure L of the length and and the measure W of the with can be written as   L = 5x and W = 2x   We now use the perimeter to write   280 = 2(2L + 2W) = 2(5x + 2x) = 14x   Solve for x   280 = 14x   x = 280 / 14= 
<gadget id="calculator">280 / 14</gadget>
<output>20</output>
20   The area A of the rectangle is given by   A= L × W = 5x × 2x = 10x^2 = 10×20^2 = 4000 square meters   ANSWER IS 4000 square meters
<result>B</result>
The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.