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Devon buys a plot of land with an area of 5/6 square kilometers. He divides the land equally into 4 smaller plots.What is the total area of 3 of the smaller plots of land? Please work it out for me!

Sagot :

5/6 divide by 4 equals 5/24. So each plot would be 5/24 km squared. Multiply that by 3 and it would be 15/24. So the answer would be 15/24 km squared if im correct.

Answer:

Total area of the 3 plots will be [tex]\frac{3}{8}[/tex] square kilometers.

Step-by-step explanation:

Devon buys a plot of the land with an area = [tex]\frac{5}{6}[/tex] square kilometers

He divides this land equally into 4 smaller plots.

Therefore, Area of each plot = [tex]\frac{\frac{5}{6} }{4}[/tex]

= [tex]\frac{5}{24}[/tex] square kilometers

Now the area of 3 plots = 3 × area of one plot

= [tex]3\times \frac{5}{24}[/tex]

= [tex]\frac{5}{8}[/tex]

Therefore, total area of the smaller 3 plots will be [tex]\frac{3}{8}[/tex] square kilometers.