Question

You are provided a plot of land of dimension $12\times 9{\text{m}}^2$ to plant flower saplings. Each sapling needs to be planted in seperate flower vase of square shape. Find the minimum number of identical flower vases required to cover the whole plot.

• A. 3
• B. 9
• C. 12
• D. 24

Answer 1

The correct option is C 12

1. We are given a land of dimension $12\times 9$ $m^2$. We need to find the largest size of vase that can evenly divide the given plot of land. This is given by greatest common factor of 12 and 9.
2. G.C.D. of 12 and 9 is 3. $12=2\times 2\times 3\&9=3\times 3$ Hence, side of each flower vase is $3\text{m}$
3. Divide the area of given plot $(12\times 9{\text{m}}^2)$ by area of one flower vase $(3\times 3{\text{m}}^2)$
4. $\frac{12\times 9}{3\times 3}=12$ Hence, 12 flower vases are required.
5.