The area of a rectangle patio is 12-3/8 square meters. the width of the patio is 2-3/4 meters. what is the length?

Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4

first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4

then, set equal denominators

99/8 and 22/8

99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8

convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2

therefore, the length is 4 1/2 meters

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