Answer:
RS = 30 units
Step-by-step explanation:
Given:
Length (PS) = [tex] 4y + 1 [/tex]
Width (PQ) = [tex] 3y + 3 [/tex]
Perimeter = 134 units
Required:
RS (width)
SOLUTION:
Perimeter of a rectangle = 2(length + width)
Plug in the values into the equation
134 = 2[(4y + 1) + (3y + 3)]
134 = 2[4y + 1 + 3y + 3]
134 = 2[7y + 4]
134 = 14y + 8
Subtract 8 from each side of the equation
134 - 8 = 14y
126 = 14y
Divide both sides by 14.
126/14 = 14y/14
9 = y
y = 9
✍️RS = Width (PQ) = [tex] 3y + 3 [/tex]
Plug in the value of y
RS = tex] 3(9) + 3 [/tex]
RS = tex] 27 + 3 [/tex]
RS = 30
