Answer: The wideness of the rectangular strip of land is 1/2 km
The length of the rectangular strip = 1 1/2 kilometers
The area of the rectangular strip = 3/4 square kilometers
Area of a rectangle = Length x width
Let the width of the rectangular strip = x
[tex]\begin{gathered} \text{Length = 1}\frac{1}{2}\text{ km} \\ \text{Convert the length to an improper fraction} \\ \frac{(1\text{ x 2) + 1}}{2} \\ \frac{2\text{ + 1}}{2} \\ \frac{3}{2}\text{ km} \\ \text{ Since, area = 3/4 } \\ \frac{3}{4}\text{ = }\frac{3}{2}\cdot\text{ x} \\ \frac{3}{4}\text{ =}\frac{3x}{2} \\ \text{Cross multiply} \\ 3\text{ x 2 = 3x }\cdot\text{ 4} \\ 6\text{ = 12x} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}\text{ = }\frac{6}{2} \\ x\text{ = }\frac{1}{2}\text{ kilometer} \end{gathered}[/tex]The widenes of the rectangular strip is 1/2 km
