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A carpet is laid on the floor of a room 3 8 m by 5 m, leaving a border 0.5 m wide all round it. What is the perimeter of the carpet?
- a)22 m
- b)24 m
- c)26 m
- d)28 m
Correct answer is option 'A'. Can you explain this answer?
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A carpet is laid on the floor of a room 3 8 m by 5 m, leaving a border...
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A carpet is laid on the floor of a room 3 8 m by 5 m, leaving a border...
**Given:**
- The room dimensions are 8 m by 5 m.
- The carpet has a border of 0.5 m all around it.
**To find:**
- The perimeter of the carpet.
**Solution:**
- The length of the carpet would be the length of the room plus the two borders on each side: 8 m + 0.5 m + 0.5 m = 9 m.
- The width of the carpet would be the width of the room plus the two borders on each side: 5 m + 0.5 m + 0.5 m = 6 m.
**Perimeter of the carpet:**
- The perimeter of a rectangle is calculated by adding the lengths of all four sides.
- The perimeter of the carpet = 2 * (length + width)
- Substituting the values, we get: 2 * (9 m + 6 m) = 2 * 15 m = 30 m.
But, we need to subtract the borders from the perimeter to get the actual perimeter of the carpet.
- The actual perimeter of the carpet = Perimeter of the carpet - Perimeter of the borders
- Perimeter of the borders = 2 * (length of the room + width of the room)
- Substituting the values, we get: 2 * (8 m + 5 m) = 2 * 13 m = 26 m.
- The actual perimeter of the carpet = 30 m - 26 m = 4 m.
Therefore, the perimeter of the carpet is 4 m.
Since none of the given options match the calculated perimeter, it appears that there may be an error in the question or options provided.
- The room dimensions are 8 m by 5 m.
- The carpet has a border of 0.5 m all around it.
**To find:**
- The perimeter of the carpet.
**Solution:**
- The length of the carpet would be the length of the room plus the two borders on each side: 8 m + 0.5 m + 0.5 m = 9 m.
- The width of the carpet would be the width of the room plus the two borders on each side: 5 m + 0.5 m + 0.5 m = 6 m.
**Perimeter of the carpet:**
- The perimeter of a rectangle is calculated by adding the lengths of all four sides.
- The perimeter of the carpet = 2 * (length + width)
- Substituting the values, we get: 2 * (9 m + 6 m) = 2 * 15 m = 30 m.
But, we need to subtract the borders from the perimeter to get the actual perimeter of the carpet.
- The actual perimeter of the carpet = Perimeter of the carpet - Perimeter of the borders
- Perimeter of the borders = 2 * (length of the room + width of the room)
- Substituting the values, we get: 2 * (8 m + 5 m) = 2 * 13 m = 26 m.
- The actual perimeter of the carpet = 30 m - 26 m = 4 m.
Therefore, the perimeter of the carpet is 4 m.
Since none of the given options match the calculated perimeter, it appears that there may be an error in the question or options provided.
Community Answer
A carpet is laid on the floor of a room 3 8 m by 5 m, leaving a border...
To find the perimeter of the carpet, we need to calculate the total length of all four sides of the carpet.
Given:
Length of the room = 8 m
Width of the room = 5 m
Width of the border = 0.5 m
Step 1: Calculate the length and width of the carpet.
To find the length of the carpet, subtract twice the width of the border from the length of the room.
Length of the carpet = Length of the room - 2 * Width of the border
= 8 m - 2 * 0.5 m
= 8 m - 1 m
= 7 m
To find the width of the carpet, subtract twice the width of the border from the width of the room.
Width of the carpet = Width of the room - 2 * Width of the border
= 5 m - 2 * 0.5 m
= 5 m - 1 m
= 4 m
Step 2: Calculate the perimeter of the carpet.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
= 2 * (7 m + 4 m)
= 2 * 11 m
= 22 m
Therefore, the perimeter of the carpet is 22 m, which is option (a).
Given:
Length of the room = 8 m
Width of the room = 5 m
Width of the border = 0.5 m
Step 1: Calculate the length and width of the carpet.
To find the length of the carpet, subtract twice the width of the border from the length of the room.
Length of the carpet = Length of the room - 2 * Width of the border
= 8 m - 2 * 0.5 m
= 8 m - 1 m
= 7 m
To find the width of the carpet, subtract twice the width of the border from the width of the room.
Width of the carpet = Width of the room - 2 * Width of the border
= 5 m - 2 * 0.5 m
= 5 m - 1 m
= 4 m
Step 2: Calculate the perimeter of the carpet.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
= 2 * (7 m + 4 m)
= 2 * 11 m
= 22 m
Therefore, the perimeter of the carpet is 22 m, which is option (a).
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A carpet is laid on the floor of a room 3 8 m by 5 m, leaving a border 0.5 m wide all round it. What is the perimeter of the carpet?a)22 m b)24 mc)26 m d)28 mCorrect answer is option 'A'. Can you explain this answer?
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