Question

The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner? The first one with a good answer will be count as the brainlist. Please help

Answer 1

To find the area you will need to begin with the information about the perimeter.  You will use the formula P = 2l + 2w.  You will replace what we know in this formula making it 72 = 2l + 2 (1/3l).  You will replace the width with the information we know about the width.  Simplify the expression on the right to make a new equation 72 = 2 2/3 l.  Solve for the length by dividing both sides by 2 2/3.  When you divide 72 by 2 2/3 you get 27 inches as your answer.  This is the length.  Once you know the length, you can take 1/3 of it (1/3 x 27) to get the width of 9 in.  Now that you know the length and the width, you will multiply these together (27 in. x 9 in) to get an area of 243 square inches!