The area of the empty lot to build a small house is 193 square yards.
Area of the lot
The area the figure can be determined by dividing into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
base = 17 unit
height = 10 unit
= (1/2) * 17 * 10
= 17*5
= 85 square unit
Area of the second triangle = (1/2)* 9* 8
=36 square unit
Area of the rectangle = base * height
base = 9 unit
height = 7 unit
Area = 9*7
= 63 square unit
Area of the last triangle = (1/2) * 2*9
= 9 square unit
The area of the plot = Area of the first triangle + Area of the second triangle + Area of the rectangle + Area of the last triangle
= 85 + 36 + 63 + 9
Area of the plot = 193 square yards
Therefore, the area of the empty lot to build a small house is 193 square yards.
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