Question

a carpet is laid around a rectangular Dance Floor measuring 10m by 8m. if the width of the carpet is 2m, find its area

solve these question

answer 168m​

Answer 1

Given data : A carpet is laid around a rectangular Dance Floor measuring 10m × 8m. The width of the carpet is 2m.

To find : The area of carpet ?

Solution : Let, length and breadth of the floor be 10m and 8m respectively.

Now, by formula of area of rectangle;

➜ Area of floor = Length * Breadth

➜ Area of floor = 10 * 8

➜ Area of floor = 80 m²

Now, We take the combined length of the floor with the carpet and also we take the combined width of the floor with the carpet.

➜ New length = floor length + 2 * {width of carpet}

➜ New length = 10 + 2 * {2}

➜ New length = 10 + 4

➜ New length = 14 m

Similarly,

➜ New breadth = floor breadth + 2 * {width of carpet}

➜ New breadth = 8 + 2 * {2}

➜ New breadth = 8 + 4

➜ New breadth = 12 m

Now,

➜ Total area of floor with carpet = New length * New breadth

➜ Total area of floor with carpet = 14 * 12

➜ Total area of floor with carpet = 168 m²

Now,

➜ Area of carpet = Total area of floor with carpet - Area of floor

➜ Area of carpet = 168 - 80

➜ Area of carpet = 88 m²

Answer : Hence, area of carpet is 88 m².