If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The owner of a sports complex wants to carpet a hallway connecting two buildings.
The diagram is given below.
The carpet costs $2.50 per square foot.
The area of the carpet will be given by the area of the trapezium.
Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7
Area = 0.5 x 52 x 7 + 0.5 x 34 x 7
Area = 182 + 119
Area = 301 square feet
Then the cost of the carpet will be
Cost of carpet = $ 2.5 x 301
Cost of carpet = $752.5
More about the trapezium link is given below.
https://brainly.com/question/22607187
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