Question

Etsuko practices origami. The square papers she uses have a side length of either 7.5 cm or 25.4 cm. Etsuko says the length of the larger paper is 32.9 cm greater than the length of the smaller paper. Is Etsuko correct?

To find how many centimeters greater the length of the larger paper is than the length of the smaller paper, the lesser number of centimeters needs to be _____ the greater number of centimeters, which gives a result that is _____ Etsuko is _____ because 25.4 cm is _____ 7.5 cm.

Answer 1

To find the length of the shorter side of a rectangle with a perimeter of 50 units, one side's length is needed. The formula for the perimeter of a rectangle is 2×Length + 2×Width, but with the given information alone, we cannot determine the exact measurements of the sides.

Step-by-step explanation:

The question asks us to determine the length of the shorter side of a rectangle with a given perimeter of 50 units. To solve this, we need to understand the properties of rectangles. Specifically, the formula for the perimeter of a rectangle, which is 2×Length + 2×Width. However, the question provides an incomplete expression for one of the sides, 2x - 2, which seems out of context for this problem. Assuming this is a typo, we will proceed with finding the dimensions based on the given perimeter.

To find the shorter side, let's define the length (L) as the longer side of the rectangle and the width (W) as the shorter side. Using the formula for the perimeter: Perimeter = 2L + 2W. Substituting the given perimeter value, we have:

50 = 2L + 2W

To find an individual side, we need either the length or the width. Since the question does not provide additional information about the sides' dimensions, we can only say that if one side is known, the other can be found by re-arranging the equation:

W = (50 - 2L) / 2

Without further information about one of the sides, we cannot determine the specific length of the shorter side.