Question 1 The perimeter of the rectangle below is 116 units

Question 1

The perimeter of the rectangle below is

116

units. Find the length of side

PS

.

e ccc Math placement × / A ALEKS-Placement Asse Xe Chegg Study! Guided S Unproctored Placement Assessment Question 1 C Likesha Espahol The perimeter of the rectangle below is 116 units. Find the length of side PS. Write your answer without variables 2x I Don\'t Know Submit 5.03 PM ^ff.: 7/4/2017 Type here to search

Solution

Given

length , l = 3x - 2

width , w = 2x

Perimeter of the rectangle = 2 ( l + w )

= 2 ( 3x -2 + 2x )

= 2 (5x - 2)

Given Perimeter of the rectangle = 116

=> 2 (5x - 2) = 116

=> 5x - 2 = 58

=> 5x = 60

=> x = 12

Now the lenght of the side PS = RQ , since in rectangle opposite sides are of equal length.

PS = 2 * 12 = 24 units

lenght of the side PS = 24 units.