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David is building a ramp.The material he will use to build the ramp costs$2.20 per squarebfoot.What will the. the total cost of building the ramp be?

David Is Building A RampThe Material He Will Use To Build The Ramp Costs220 Per SquarebfootWhat Will The The Total Cost Of Building The Ramp Be class=

Sagot :

Given data:

The cost of the material per square-foot is c=$2.20.

The expression for area of the given figure is,

[tex]\begin{gathered} A=(21.7\text{ ft)(12 ft)+(}12\text{ ft)(8.5 ft)+}(20\text{ ft)(12 ft)+2(}\frac{1}{2})(20\text{ ft)(8.5 ft)} \\ =260.4ft^2+102ft^2+240ft^2+170ft^2 \\ =772.4ft^2 \end{gathered}[/tex]

The total cost is,

[tex]\begin{gathered} C=A\times c \\ =(772.4)(2.20) \\ =1699.28 \end{gathered}[/tex]

Thus, the total cost is $1699.28.