Answer:
20 units
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
P = 2( 3x+2 + 4x)
Adding like terms
P = 2( 7x+2)
We know the perimeter is 74 units
74 = 2 ( 7x+2)
Divide by 2
74/2 = 2/2 (7x+2)
37 = 7x+2
Subtract 2 from each side
37-2 = 7x+2-2
35 = 7x
Divide by 7
35/7 = 7x/7
5 =x
We want to find the length RS = PQ = 4x
RS = 4x = 4*5 = 20
