If the sides of a quadrilateral are in the ratio of 3:5:7:9 and the perimeter is
240 inches, find the length of each side.
3x + 5x + 7x + 9x = 24x = 240
x = 10
3x = ?
5x = ?
7x = ?
9x = ?
If the sides of a quadrilateral are in the ratio of 3:5:7:9 and the perimeter is
240 inches, find the length of each side.
Math - PsyDAG, Wednesday, April 13, 2011 at 11:51am
3x + 5x + 7x + 9x = 24x = 240
x = 10
3x = ?
5x = ?
7x = ?
9x = ?
How x=10???
To find the length of each side of the quadrilateral, we need to divide the perimeter (240 inches) among the four sides in the ratio 3:5:7:9.
Step 1: Calculate the sum of the ratio numbers
3 + 5 + 7 + 9 = 24
Step 2: Divide the perimeter by the sum of the ratio numbers
240 / 24 = 10
Step 3: Multiply each ratio number by the above result
Length of the first side = 3 * 10 = 30 inches
Length of the second side = 5 * 10 = 50 inches
Length of the third side = 7 * 10 = 70 inches
Length of the fourth side = 9 * 10 = 90 inches
Therefore, the length of each side of the quadrilateral is 30 inches, 50 inches, 70 inches, and 90 inches, respectively.