1.A square lot is to be planted with santan plants all around.The side of the lot measures 10 m.If plants will be planted 20 cm apart,how many plants must be planted in all?
The perimeter would be 40 m
Visualize the perimeter as a single line.
at each 20 cm intervals there would be a pot, that would be 40/.20
or 200 pots. Notice the first pot would be at 20 cm, not at 0
but if we form the square, the last pot on the line would fall on the 0 position
number of plants = 200
To find out how many plants must be planted in all, we need to calculate the number of plants that can fit along each side of the square lot, and then multiply that number by 4 to account for all four sides.
First, let's find the distance between each plant. We are given that the plants will be planted 20 cm apart. Since 1 meter is equal to 100 cm, we can convert the distance between plants to meters by dividing 20 cm by 100 cm/m:
20 cm ÷ 100 cm/m = 0.2 m
Next, we need to calculate how many plants can fit along one side of the square lot. To do this, we divide the length of one side (10 m) by the distance between plants (0.2 m):
10 m ÷ 0.2 m = 50
So, 50 plants can be planted along one side of the square lot.
Since there are four sides to the square lot, we can multiply the number of plants along one side by 4 to get the total number of plants:
50 plants/side × 4 sides = 200 plants in total
Therefore, 200 plants must be planted in all.