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The kitchen is described as rectangular in shape, with a length, width and area in square meters. The area is given as 3 3/4 square meters, the width is 1 1/2 meters, then to calculate the length, you'll have;
[tex]\begin{gathered} A=l\times w \\ 3\frac{3}{4}=l\times1\frac{1}{2} \\ \frac{15}{4}=l\times\frac{3}{2} \\ By\text{ cross multiplying you now have} \\ \frac{15\times2}{4\times3}=l \\ \frac{30}{12}=l \\ \frac{5}{2}=l \\ \therefore l=2\frac{1}{2} \end{gathered}[/tex]The length of the kitchen is 2 1/2 meters.