Question

find the perimeter of rhombus efgh. draw
rhombus efgh with side ef labeled 2n + 3 and side fh labeled -n + 39

Explanation:

Step1: Set sides equal (rhombus property)

$2n + 3 = -n + 39$

Step2: Solve for n

$2n + n = 39 - 3$
$3n = 36$
$n = \frac{36}{3} = 12$

Step3: Calculate side length

Substitute $n=12$ into $2n+3$:
$2(12) + 3 = 24 + 3 = 27$

Step4: Find perimeter (4×side)

$4 \times 27 = 108$

Answer:

108