Question

The perimeter of the rectangle below is 134 units. Find the length of side RS. Write your answer without variables

Answer 1

Answer:

RS = 30 units

Step-by-step explanation:

Given:

Length (PS) = $4y + 1$

Width (PQ) = $3y + 3$

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) = $3y + 3$

Plug in the value of y

RS = tex] 3(9) + 3 [/tex]

RS = tex] 27 + 3 [/tex]

RS = 30