Question

A garden is sodded in the shaded portion below. How many square feet were covered with sod?​

Answer 1

Answer:

149 ft² were covered in sod

Explanation:

To solve this problem, we will follow these steps:

1- get the total area of the garden

2- get the area of the two uncovered triangles

3- Subtract the areas of the uncovered triangles from the total area of the garden

Now, let's proceed:

1- getting the total area of the garden:

The garden is rectangular shaped with dimensions 20 ft and 9.25 ft

Area of garden = length * width

Area of garden = 20 * 9.25 = 185 ft²

2- getting the areas of the two uncovered triangles:

The two triangles are congruent. Therefore, we will get the area of one triangle and multiply it by 2 to get the total area of the uncovered part

In the given triangle, we have:

base = height = 6 ft

Area of one triangle = 0.5 * base * height

Area of one triangle = 0.5 * 6 * 6 = 18 ft²

Total area of uncovered part = 2 * 18 = 36 ft²

3- getting the area of the covered part:

Covered area = total area - area of uncovered part

Covered area = 185 - 36 = 149 ft²

Hope this helps :)