If a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides? Choose the correct choice from the following answers.
A) 4 B) 7 C) 8 D) 13 E) 26
This question can be solved algebraically or by TESTing THE ANSWERS.   We're told that a rectangle has an area of 130 and a perimeter of 46. We're asked for the length of one of the LONGER sides of the rectangle.   Since the answers are all INTEGERS, and the area is 130, the shorter side will almost certainly be closer to 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 130,   IF...   The shorter side = 10...   The area = 130/10= 
<gadget id="calculator">130/10</gadget>
<output>13</output>
13= the longer side   Perimeter = 10+10+13+13= 
<gadget id="calculator">10+10+13+13</gadget>
<output>46</output>
46   13
<result>D</result>
If a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides?