have an area of 11 square centimeters. I am made up of whole square centimeters. My length is 4 cm. I am not a rectangle. What am l?
To find out what you are, we can start by determining the width of the shape. Since the area is 11 square centimeters and the length is 4 centimeters, we can divide the area by the length to find the width.
Width = Area / Length = 11 cm² / 4 cm = 2.75 cm
However, you mention that you are made up of whole square centimeters, so the width must also be a whole number. Since 2.75 is not a whole number, we need to adjust the dimensions. We know that the area of a shape is equal to its length multiplied by its width. To keep the area the same, we can try different integral values for the width and see if any of them satisfy the condition.
Considering the possible integral values for the width, we have:
Width = 1 cm: Area = 4 cm * 1 cm = 4 cm², which is not equal to 11 cm².
Width = 2 cm: Area = 4 cm * 2 cm = 8 cm², which is not equal to 11 cm².
Width = 3 cm: Area = 4 cm * 3 cm = 12 cm², which is not equal to 11 cm².
Width = 4 cm: Area = 4 cm * 4 cm = 16 cm², which is not equal to 11 cm².
Width = 5 cm: Area = 4 cm * 5 cm = 20 cm², which is not equal to 11 cm².
Width = 6 cm: Area = 4 cm * 6 cm = 24 cm², which is not equal to 11 cm².
Width = 7 cm: Area = 4 cm * 7 cm = 28 cm², which is not equal to 11 cm².
Since none of the integral values for width yield an area of 11 cm², it seems there is no whole square centimeter shape with a length of 4 cm and an area of 11 cm² that is not a rectangle.