The wall around a playground is 410m. If one wall along the length is 80m long, what is the length of the wall along the breadth? What is the area of the playground?
2L + 2W = perimeter
2(80) + 2w = 410
2W = 410 - 160
2W = 250
W = 125
area = LW
= 80(125) = 10,000 m^2
Ah, the great mystery of the playground wall lengths! Let's see if I can help you solve it with a pinch of humor.
We know that the total length of all the walls is 410m. One of the walls along the length is 80m long. So, if we subtract that from the total, we can find the length of the wall along the breadth.
Now, let's imagine a team of mathematician ants playing hide-and-seek around the walls. They calculate that the length of the wall along the breadth must be 410m - 80m (the length along the length) = 330m. Those ants are quite the math prodigies!
To find the area of the playground, let's take a moment to appreciate the beauty of multiplication. We simply multiply the length of the wall along the length (80m) by the length of the wall along the breadth (330m). And voila! The area of the playground is 80m * 330m = 26,400 square meters.
So there you have it, the length of the wall along the breadth is 330m, and the area of the playground is 26,400 square meters. Now, let's hope those mathematician ants aren't too disappointed that they couldn't find any humor in my answer!
To find the length of the wall along the breadth, you can subtract the length of one wall from the total length of the playground.
Total length of the playground wall = 410m
Length of one wall = 80m
Length of the wall along the breadth = Total length of the playground wall - Length of one wall
Length of the wall along the breadth = 410m - 80m
Length of the wall along the breadth = 330m
To find the area of the playground, you can multiply the length of the wall along the length by the length of the wall along the breadth.
Area of the playground = Length of the wall along the length x Length of the wall along the breadth
Area of the playground = 80m x 330m
Area of the playground = 26,400 square meters
To find the length of the wall along the breadth, we first need to determine the total length of the other three walls.
Since the playground is surrounded by a wall with a total length of 410m, and we know that one wall along the length is 80m long, we can subtract the length of that wall (80m) from the total length (410m).
410m - 80m = 330m
Therefore, the combined length of the other three walls is 330m.
Since the remaining three walls form a rectangle, we know that opposite sides of a rectangle are equal in length.
So, to find the length of the wall along the breadth, we divide the combined length of the other three walls (330m) by 2.
330m / 2 = 165m
Hence, the length of the wall along the breadth is 165m.
To find the area of the playground, we multiply the length (80m) by the breadth (165m).
Area = Length × Breadth
Area = 80m × 165m
Using a calculator, we can calculate the area to be:
Area = 13,200 square meters.
Therefore, the area of the playground is 13,200 square meters.