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dante is ordering wood flooring for his bedroom which is shaped like a trapezoid if flooring materials cost $5 per square foot how much should he expect to pay for the materials

dante is ordering wood flooring for his bedroom which is shaped like a trapezoid if flooring materials cost 5 per square foot how much should he expect to pay f class=

Respuesta :

$650 because if you split the shape into a square and. a triangle you get 100 ft + 30 ft, so, you multiply 130×5 to get an answer of $650

Answer:

All materials to cover the whole area would cost $650.

Step-by-step explanation:

The formula to find the area of a trapezoid is

[tex]A=\frac{a+b}{2} \times h[/tex]

Where [tex]a[/tex] is the largest base, [tex]b[/tex] is the smallest base, and [tex]h[/tex] is the height. So, in this problem each variable would be

[tex]a=16ft\\b= 10ft\\h=10ft[/tex]

Replacing these values, we have

[tex]A=\frac{a+b}{2} \times h\\A=\frac{16ft+10ft}{2} \times 10ft\\ A=\frac{26ft}{2} \times 10ft\\ A=13 ft \times 10ft\\A=130 ft^{2}[/tex]

So, if each unit of area cost $5, we just need to multiply it with the total area of the trapezoid

[tex]C=130ft \times 5 \$=650 \$[/tex]

Therefore, all materials to cover the whole area would cost $650.

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