In a construction plan, a parallelogram-shaped metal plate has sides (3x - 2) cm and (x + 4) cm. If the perimeter is 48 cm, find x.
Show answer & explanation
Correct answer: B
Explanation
Given:
Sides = (3x − 2) cm and (x + 4) cm
Perimeter = 48 cm
By the formula:
Perimeter = 2(length + width)
2[(3x − 2) + (x + 4)] = 48
2(4x + 2) = 48
8x + 4 = 48
8x = 44
x = 5.5