Question

The ratio of the area between a small square of land and a large squareof land is 3: 7. Given that the total area of the two squares of land is4,000 m2, find the area of each square of land.

Answer 1

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

`x^`

be the area of the square of land.

Then their ratio is given by,

`3x^:7x^`

Also given that the total area of the two squares of land (in sq.meter) is

4,000.

The area of

Therefore,

`\begin{gathered} 3x^+7x^=4000 \\ \Rightarrow10x^=4000 \\ \Rightarrow x^=400 \\ \end{gathered}`

Therefore,the area of small square (in sq. meter) is,

`3x=3(400)=1200`

and the area of large square (in sq. meter) is,

`7x=7(400)=2800`

Final Answer:

The area of small and large square respectively (in sq. meter) is,1200 and 2800.