Question

The perimeter of the rectangle below is 104 units. Find the length of side QR.

Write your answer without variables.
S
R
2y - 1
QR = 0
Х
P
3y + 3

Answer 1

length of side QR = 19 units

Explanation:

Perimeter of a rectangle = (2 × length) + (2 × breadth)

length = side PQ = side SR = 3y + 3

breadth = side QR = side SP = 2y - 1

》2×(3y + 3) + 2×(2y - 1) = 104

》(6y + 6) + (4y - 2) = 104

10y + 4 = 104

10y = 104 - 4 = 100

y = 100/10

y = 10

Length of side QR = 2y - 1

= 2(10) - 1

= 20 - 1

= 19 units