Given:
The ratio of the area between a small square of land and a large square
of land is 3: 7.
Total area of the two squares of land (in sq. meter) is 4000.
Required:
The area of each square of land.
Answer:
We have the ratio of the area between a small square of land and a large square of land is 3: 7.
Let
[tex]x^[/tex]be the area of the square of land.
Then their ratio is given by,
[tex]3x^:7x^[/tex]Also given that the total area of the two squares of land (in sq.meter) is
4,000.
The area of
Therefore,
[tex]\begin{gathered} 3x^+7x^=4000 \\ \Rightarrow10x^=4000 \\ \Rightarrow x^=400 \\ \end{gathered}[/tex]Therefore,the area of small square (in sq. meter) is,
[tex]3x=3(400)=1200[/tex]and the area of large square (in sq. meter) is,
[tex]7x=7(400)=2800[/tex]Final Answer:
The area of small and large square respectively (in sq. meter) is,1200 and 2800.