Caroline cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 57 inches. How long is each side of the original square cake?

So the square cake is cut in half which means two half sides would equal one whole side. SO, since the two "halves" in the smaller rectangle would equal one whole side, plus the two whole sides in the smaller rectangle, you would divide 57 inches by 3.

57 divided by 3 equals the quotient of 19. Thus, the answer is 19 inches.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-10T08:35:35+02:00

Each side of the original cake is equal to the length of the rectangle pieces, that is, 19 inches.

What is the perimeter of a rectangle?

The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.

The perimeter of a rectangle = 2( l + b)

As the square cake was cut into two equal pieces,

we have that one side of the rectangle is the double the other side,

So,

2 x (Length + Width) = 57

Length = 2 x Width

So using the value of length in the first equation,

we have:

4 x Width + 2 x Width = 57

6 x Width = 57

Width = 9.5

Length = 2 x Width = 19

Therefore, each side of the original cake is equal to the length of the rectangle pieces, that is, 19 inches.

Learn more about rectangles;

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