Question

find the perimeter of rhombus efgh.
draw
efgh is a rhombus, side ef is 4b + 4, side fh is -b + 49

Explanation:

Step1: Set equal sides

All sides of a rhombus are equal, so $4b + 4 = -b + 49$.

Step2: Solve for b

$4b + b = 49 - 4$ → $5b = 45$ → $b = 9$.

Step3: Calculate side length

Substitute $b=9$ into $4b + 4$: $4(9) + 4 = 40$.

Step4: Find perimeter

Perimeter = $4×40 = 180$.

Answer:

180