the central hall of a school is 22m long and 15.5 m wide. A carpet is to be laid on the floor leaving a strip of 75cm width from the walls uncovered. Find the area of the carpet and the area of the strip left uncovered.
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To find the area of the carpet and the area of the strip left uncovered, we can calculate the total area of the central hall and then subtract the area of the strip.
1. Area of the central hall:
The central hall is 22m long and 15.5m wide. Therefore, its area is:
Area = Length × Width
Area = 22m × 15.5m = 341m²
2. Area of the strip left uncovered:
The strip along the walls is 75cm wide, which is equivalent to 0.75m. The length of the strip is the same as the length of the hall, 22m. So, the area of the strip is:
Area = Length × Width
Area = 22m × 0.75m = 16.5m²
Now, to find the area of the carpet, subtract the area of the strip from the total area of the hall:
Area of Carpet = Area of Central Hall - Area of Strip
Area of Carpet = 341m² - 16.5m² = 324.5m²
So, the area of the carpet is 324.5 square meters, and the area of the strip left uncovered is 16.5 square meters.
HERE YOUR ANSWER BUDDY!!!
INTRODUCTION!!!
To find the area of the carpet, we need to calculate the dimensions of the floor space that will be covered.
Given that the central hall of the school is 22m long and 15.5m wide, we need to subtract the width of the strip left uncovered from each dimension.
LET'S START THE ANSWER!!!
Since the strip left uncovered is 75cm wide, we need to convert it to meters. There are 100 centimeters in 1 meter, so 75cm is equal to 75/100 = 0.75m.
Now, let's calculate the dimensions of the floor space covered by the carpet.
Length of the covered floor = Length of the hall - Width of the uncovered strip
= 22m - (2*0.75m) // The strip is left uncovered on both sides
= 22m - 1.5m
= 20.5m
Width of the covered floor = Width of the hall - Width of the uncovered strip
= 15.5m - (2*0.75m) // The strip is left uncovered on both sides
= 15.5m - 1.5m
= 14m
To find the area of the carpet, we multiply the length of the covered floor by the width of the covered floor:
Area of the carpet = Length of the covered floor * Width of the covered floor
= 20.5m * 14m
= 287 square meters
Similarly, to find the area of the strip left uncovered, we multiply the width of the uncovered strip by the sum of the length and width of the covered floor:
Area of the strip left uncovered = Width of the uncovered strip * (Length of the covered floor + Width of the covered floor)
= 0.75m * (20.5m + 14m)
= 0.75m * 34.5m
= 25.875 square metere
FINAL ANSWER!!!
Therefore, the area of the carpet is 287 square meters, and the area of the strip left uncovered is 25.875 square meters.
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