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.

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i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: