Agarden is sodded in the shaded portion below. how many square feet were covered with sod

149 ft² of the garden was  covered in sod

Explanation:

The area covered with sod = total area of the rectangle  -  area of the both the triangles

Step 1: Finding the total area of the rectangle

The garden is rectangular shape

It's dimensions  are 20 ft and ft

Area of garden =

Area of garden =

Area of garden =

Area of garden =

Area of garden =

Step 2: Finding  the areas of the two  triangles:

The two triangles are congruent.Hence its enough to find the area of one triangle

The base and height of the triangle is 6 ft

Area of one triangle =

On substituting the value

Area of one triangle =

Area of one triangle =

Area of one triangle =

Area of one triangle =

Total area of uncovered part

=

=

=

Step 3: Finding the area covered with sod

The area covered with sod  =  area of the rectangle  -  area of the of uncovered part

The area covered with sod   = 185 - 36 = 149

The area covered with sod

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yes ok