Mrs Jackson wants to lay tile in the area in front of her fi

Mrs. Jackson wants to lay tile in the area in front of her fireplace, as shown in the diagram. The tile costs $2.99 per square foot. About how much will it cost Mrs. Jackson to tile the area?

Solution

We know that the area of a trapezium ( a quadrilateral with 2 parallel sides) is h/2(a+b), wher a and b are the two parallel sides and h is the perpendicular distane between these two sides. Here, the area of the given trapezium is 3/2(6+11) = 51/2 sq. ft. Since the tiles cost $ 2.99 per square foot, the cost of laying the tiles to Mr. Jacson will be $ 2.99*21/2 = $ 76.245 or $ 76.25 ( on rounding off to the nearest cent).