Question

A landscaper plans a backyard with a rectangular swimming pool and a circular fire pit. The remainder of the yard will be covered in grass. 3 12 SEDM ICO How many square meters of grass will the landscaper need to plant (to the nearest tenth)?

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Answer 1

92.4 m²

Explanation:

To find the area of the grass, we must find the area of the yard with the area of the pool and fire pit subtracted.

Area of the yard:

The area of a rectangle is given with A = LW.

A = LW

A = (15 m)(8 m)

A = 120 m²

Area of the pool:

Again, the area of a rectangle is given with A = LW.

A = LW

A = (3 m)(5 m)

A = 15 m²

Area of the fire pit:

The area of a circle is given with A = πr².

A = πr²

A = π(2 m)²

A ≈ 12.566 m²

Area of the grass:

Lastly, we will subtract and round to the nearest tenth.

120 m² - 15 m² - 12.566 m² = 92.434 m² ≈ 92.4 m²