Answer:
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
