Louise measured the perimeter of her rectangular scrapbook to be 154 cm. If the scrapbook is 44 cm wide, how long is the scrapbook?
A.
77 cm
B.
66 cm
C.
31 cm
D.
33 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 perimeter is 154 cm and the width is 44 cm, we can plug in these values:
154 = 2(length + 44)
Divide both sides by 2:
77 = length + 44
Subtract 44 from both sides:
77 - 44 = length
33 = length
Therefore, the length of the scrapbook is 33 cm. So, the answer is D. 33 cm.
Louise measured the perimeter of her rectangular scrapbook to be 154 cm. If the scrapbook is 44 cm wide, how long is the scrapbook?
twice the width = 88
twice the length = 2 L
so
2 L + 88 = 154
2 L = 66
L = 33
Since the length comes out shorter than the width I suspect a typo in the problem statement.