Louise measured the perimeter of her rectangular scrapbook to be 164 cm. If the scrapbook is 48 cm wide, how long is the scrapbook?
A.
34 cm
B.
32 cm
C.
82 cm
D.
68 cm
To find the length of the scrapbook, we can use the formula for the perimeter of a rectangle: perimeter = 2(length + width).
Given that the width is 48 cm and the total perimeter is 164 cm, we can substitute these values into the formula:
164 = 2(length + 48)
Divide by 2 to isolate (length + 48):
164/2 = length + 48
82 = length + 48
Subtract 48 from both sides to find the length:
82 - 48 = length
34 = length
Therefore, the length of the scrapbook is 34 cm, which means the answer is A. 34 cm.