a hall 15m by 13m has a white marble floor. A red carpet is laid in the centre of the hall leaving 50 cm border area all around. Find the area and the perimeter of the carpet.
Answers
A red carpet is laid in the centre of the hall leaving 50 cm border area all around, then the area of the carpet is 168 m² and the perimeter of the carpet is 52 m.
Step-by-step explanation:
Dimensions of the white marble floor of the hall:
Length = 15 m
Breadth = 13 m
The width of the border is given as = 50 cm = 0.5 m
Therefore,
The dimensions of the red carpet laid at the centre of the hall:
Length of carpet = 15 – (2*0.5) = 14 m
Breadth of carpet = 13 – (2*0.5) = 12 m
Thus,
The area of the carpet = [Length of carpet] * [Breadth of carpet] = 14 * 12 = 168 m²
And,
The perimeter of the carpet = 2 * [length + breadth] = 2 * [14+12] = 52 m
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Answer:
The area of the carpet = 168m².
The perimeter of the carpet = 52m.
Thank you.
Have a nice day.