Marie wants to buy fencing and sod for her new triangular flower bed. One of the legs of the garden is 7 ft longer than the other and the hypotenuse is 1 ft longer. If sod cost $12.72 per sqft and fencing cost $4.23 per ft. How much would it cost Marie to purchase enough sod and fencing?

let's suppose x is the shortest leg of the triangle

The perimeter of the flower bed is 3x+8 ft

the surface to be coverd by sod would be x * (x+7) / 2 sqft

(x+8) (x+8) = (x+7) ^2+x^2

x'2+16x+64=x'2+14x+49+x^2

x^2-2x=15

x * (x-2) = 15

x=5

(15+8) * $4.23=$97.29 for fencing

32.5sqft*$12.72=$413.4 for the sod