suppose maya made another sign with an area of 48 square inches. would this sign be larger or smaller than the sign with an area of 48 square centimeters? explain how you know
Which is smaller -- a centimeter or an inch?
To compare the sizes of the two signs, we need to convert the measurements to the same unit. In this case, we can convert both measurements to square inches for a fair comparison.
Given that Maya made another sign with an area of 48 square inches, we know the size of this sign.
To determine if it's larger or smaller than the sign with an area of 48 square centimeters, we need to convert 48 square centimeters to square inches.
To convert centimeters to inches, we generally use the conversion factor of 2.54 cm = 1 inch.
To convert square centimeters to square inches, we need to square the conversion factor: (2.54 cm)^2 = 6.4516 square centimeters = 1 square inch.
Therefore, we can divide the area of 48 square centimeters by the conversion factor:
48 square centimeters ÷ 6.4516 (cm^2/in^2) = 7.4568 square inches.
Now, comparing the two areas, we find that the sign with an area of 48 square inches is larger than the sign with an area of 48 square centimeters. The sign with 48 square inches (the one Maya made) has a greater area than the sign with 48 square centimeters.