Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio.

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Complete Question

Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio. A quadrilateral is broken into a triangle and rectangle. The triangle has a base of 20 feet and a height of 6 feet. The rectangle has a base of 20 feet and a height of 12 feet. How many total stone tiles will Mr. Connor need for the patio?

300 tiles

Step-by-step explanation:

From the above question, we know that the patio is a combination of a triangle and a rectangle.

Step 1

Find the area of the shape

a) Area of the Triangle = 1/2 × Base × Height

Base = 20 feet

Height = 6 feet

Area = 1/2 × 20 × 6

Area = 60 square feet

b) Area of the rectangle

= Length × Breadth.

The rectangle has a

Base = Breadth = 20 feet

Height = Length = 12 feet

Area = 20 × 12 = 240 square feet.

Total Area of the patio

= Area of Triangle + Area of square

= 60 square feet + 240 square feet

= 300 square feet

Step 2

We are told that each stone tile = 1 square foot.

Hence, if the total area of the patio = 300 square feet, the number of stone tiles that would be used is

1 square foot = 1 stone tile

300 square feet = 300 stone tiles.

Therefore,the total stone tiles that Mr. Connor will need for the patio is 300 stone tiles.

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.