Question

John wants to replace the grass around his swimming pool with paving

1) determine the area of paving john will need


2) john is only able to purchase the paving in square meters, how many square meters will he have to buy

Answer 1

38.23 square meters

Explanation:

1) First, let's determine the area of the rectangle and the area of the circle:

`\sf \textsf{Area of the rectangle} = \textsf{Length} * \textsf{Width}`

`\sf \textsf{Area of the rectangle} = 12.7 \, \textsf{m} * 4 \, \textsf{m}`

`\sf \textsf{Area of the rectangle} = 50.8 \, \textsf{m}^2`

And

`\sf \textsf{Area of the circle} = (1)/(4) \pi * \textsf{Diameter}^2`

`\sf \textsf{Area of the circle} = (1)/(4) \pi * (4 \, \textsf{m})^2`

`\sf \textsf{Area of the circle} = 4 \pi \, \textsf{m}^2`

Now, to find the area of paving John will need, subtract the area of the circle from the area of the rectangle:

`\sf \textsf{Area of paving} = \textsf{Area of the rectangle} - \textsf{Area of the circle}`

`\sf \textsf{Area of paving} = 50.8 \, \textsf{m}^2 - 4 \pi \, \textsf{m}^2 \\\\ = 38.23362939 \textsf{m}^2`

Therefore, The area that John will need 38.23 square meters of paving.