Exercise 61 Page 798

We are given the ratio of the length and the width of a rectangle as 5:12. Also, the area of the rectangle is 240 square centimeters. Let l and w be the length and the width of the rectangle, respectively.

We want to find the length of the diagonal of the rectangle in centimeters. To do so we will first find the values of l and w. Let's write the two equations as a system of equations. Then we will solve the system by the Substitution Method.

Now we will find the diagonal. Let's draw a rectangle whose length is 10 and width is 24, and add one of the diagonals of the rectangle.

Since a rectangle has four right angles, we will use the Pythagorean Theorem to find the diagonal d.

We found the diagonal as 26. Therefore, the correct option is G.