Question

How wide is a rectangular strip of land with length 1 1/2 kilometers and area 3/4 square kilometers?

Answer 1

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

`\begin{gathered} \text{Length = 1}(1)/(2)\text{ km} \\ \text{Convert the length to an improper fraction} \\ \frac{(1\text{ x 2) + 1}}{2} \\ \frac{2\text{ + 1}}{2} \\ (3)/(2)\text{ km} \\ \text{ Since, area = 3/4 } \\ (3)/(4)\text{ = }(3)/(2)\cdot\text{ x} \\ (3)/(4)\text{ =}(3x)/(2) \\ \text{Cross multiply} \\ 3\text{ x 2 = 3x }\cdot\text{ 4} \\ 6\text{ = 12x} \\ \text{Divide both sides by 12} \\ (12x)/(12)\text{ = }(6)/(2) \\ x\text{ = }(1)/(2)\text{ kilometer} \end{gathered}`

The widenes of the rectangular strip is 1/2 km