A gymnasium is 50m long and 30m broad. A running track 2. 5m wide runs all around it on the inside. Find the area of the track
To find the area of the track, we need to subtract the area of the gymnasium from the area of the gymnasium and the track combined.
1. Find the area of the gymnasium:
Area of the gymnasium = length x breadth
Area of the gymnasium = 50m x 30m
Area of the gymnasium = 1500 square meters
2. Determine the length and breadth of the gymnasium and the track combined:
Length of the gymnasium and track combined = length of the gymnasium + 2 times the width of the track
Length of the gymnasium and track combined = 50m + 2(2.5m)
Length of the gymnasium and track combined = 50m + 5m
Length of the gymnasium and track combined = 55m
Breadth of the gymnasium and track combined = breadth of the gymnasium + 2 times the width of the track
Breadth of the gymnasium and track combined = 30m + 2(2.5m)
Breadth of the gymnasium and track combined = 30m + 5m
Breadth of the gymnasium and track combined = 35m
3. Find the area of the gymnasium and the track combined:
Area of the gymnasium and track combined = length of the gymnasium and track combined x breadth of the gymnasium and track combined
Area of the gymnasium and track combined = 55m x 35m
Area of the gymnasium and track combined = 1925 square meters
4. Calculate the area of the track by subtracting the area of the gymnasium from the area of the gymnasium and the track combined:
Area of the track = Area of the gymnasium and track combined - Area of the gymnasium
Area of the track = 1925 square meters - 1500 square meters
Area of the track = 425 square meters
Therefore, the area of the track is 425 square meters.
To find the area of the track, we first need to calculate the area of the gymnasium and then subtract the area of the inner field.
The gymnasium's area is equal to its length multiplied by its width:
Area of the gymnasium = Length × Width
Area of the gymnasium = 50m × 30m = 1500 square meters
Now, let's calculate the area of the inner field. Since the running track surrounds the gymnasium on all sides, we need to subtract the area of the gymnasium from the area of the track.
The track's area can be calculated by considering that it extends both inside and outside the gymnasium. Therefore, the length of the track will be equal to the length of the gymnasium, plus twice the width of the track (as it is on both sides). Similarly, the width of the track will be equal to the width of the gymnasium, plus twice the width of the track.
Length of the track = Length of the gymnasium + 2 × Width of the track
Length of the track = 50m + 2 × 2.5m = 50m + 5m = 55m
Width of the track = Width of the gymnasium + 2 × Width of the track
Width of the track = 30m + 2 × 2.5m = 30m + 5m = 35m
Now, we can calculate the area of the track:
Area of the track = Length of the track × Width of the track
Area of the track = 55m × 35m = 1925 square meters
Therefore, the area of the track is 1925 square meters.
375 m
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(52.5*32.5) - (50*30) = ?