Joanne buys a rectangular rug with an area of
35/4
square meters. The length of the rug is
7/2 meters.
What is the width, in meters, of the rug?
7/2 * w = 35/4
w = 35/4 * 2/7 = 70/28 = 5/2
To find the width of the rug, we can use the formula for the area of a rectangle:
Area = Length x Width
We are given that the area of the rug is 35/4 square meters and the length is 7/2 meters. Substituting these values into the formula, we have:
35/4 = 7/2 x Width
To solve for the width, we can rearrange the equation:
Width = (35/4) / (7/2)
To divide fractions, we invert the divisor and multiply:
Width = (35/4) x (2/7)
We can simplify the multiplication:
Width = (35 x 2) / (4 x 7)
Width = 70/28
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
Width = (70/2) / (28/2)
Width = 35/14
The width of the rug is 35/14 meters.