Question

A landscaper needs to estimate the amount of material required for a project building a circular brick patio for a client. The diameter of the patio is 13m and one bundle of brick will cover 116ft^2. How many bundles does he need?

Answer 1

13 bricks

Explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

Area of the patio = π r²

r is the radius of the patio;

Radius =
`(13)/(2)`

So area = π x (
`(13)/(2)`) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

1ft² = 0.093m²

116ft² = 0.093 x 116 = 10.79m²;

The number of bricks required to cover the patio =
`(132.75)/(10.79)` = 12.3 bricks,

Realistically, about 13 bricks would be needed.