Elementary Geometry for College Students (6th Edition)

The ratio of the sides is 2:3:5:7. The total perimeter is 68. The sides therefore must be equal to 2, 3, 5, and 7 multiplied by the same number and then added to a total of 68. We'll call this number x. First we have to solve for x 2x + 3x + 5x + 7x = 68 Simplify 17x = 68 Divide each side by 17 x = 68 $\div$ 17 x = 4 Now we return to the sides 2x, 3x, 5x, and 7x. 2(4) = 8 3(4) = 12 5(4) = 20 7(4) = 28