Benchmark 1 - Item 205379 Question 5 of 30
The perimeter of quadrilateral JKLM is 90 centimeters. Which is the length of side KL?
Kn
2n-12
n +7
3n+ 4
CLEAR
SUBMIT
16.5 cm
15.8 cm
15 cm
13 cm

KL = 13 cm

Step-by-step explanation:

Given:

Perimeter of quadrilateral JKLM = 90 cm

KL = n

KJ = n + 7

LM = 2n - 12

MJ = 3n + 4

Required:

Length of side KL

SOLUTION:

Perimeter of quadrilateral JKLM

(substitution)

Solve for n

Combine like terms

Add 1 to both sides

Divide both sides by 7

KL = n = 13 cm