Q:

Coco buys a very large rectangular chocolate bar and decides that each day, shewill cut the largest possible square off of the bar and eat it. When the remainingpart of the chocolate bar is a square, she will eat all that is left. The table showsthe area, in square centimeters, of the square Coco eats on each day. If Cocofinishes the chocolate bar on Day 6, what was the length of the longer side of thechocolate bar when Coco bought it?Table is included need answer ASAP.

Accepted Solution

A:
On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, 6 cm, 3 cm and 3 cm, respectively. Since we know the originally chocolate bar was a rectangle the 6 squares must fit together as shown. The length of the longer side of the original chocolate bar, then, was 15 + 15 + 9 =39 cm