Greta has budgeted $1,500 to have a concrete patio poured in her backyard like the one shown. The cost per square foot of the concrete is $5.50. Find the cost of the patio to determine if Greta has budgeted enough money to complete the project.

Yes the amount Greta has budgeted ($1,500) is enough to complete the project which will cost $1,443.75

Step-by-step explanation:

The amount Greta has budgeted to have a concrete patio = $1,500

The cost (per square foot) of the concrete, C/Ft² = $5.50/ft²

From the dimension of the backyard, we have;

The total area, A = The area of a rectangle + The area of a trapezium

The area of the rectangle = 6 ft. × 28 ft. = 168 ft.²

The area of the trapezium = (8 ft. + (28 ft. - 15 ft.))/2 × (15 ft. - 6 ft.) = ((8 ft. + 13 ft.)/2) × 9 ft. = 94.5 ft.²

The total area, A = 168 ft.² + 94.5 ft.² = 262.5 ft.²

The total cost of the concrete, C = A × C/Ft²

∴ C = 262.5 ft.² × $5.50/ft² = $1,443.75

Therefore, given that Greta budgeted $1,500 for the project which is more than the $1,443.75 required, Greta has budgeted enough money to complete the project