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the length of a rectangle is 8 centimeters less than 3 times the width. write a polynomial that represents the area of the rectangle. find the area of the rectangle when the width is 10 centimeters.

Respuesta :

MrsStrong

Answer:

[tex]A=3w^2-8w[/tex]

When w=10 then A=220 square cm

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm less than 3 times the width. So l = 3w - 8.

So the area is [tex]A= (3w - 8)*w = 3w^2-8w[/tex]

If the width is 10 then substitute w=10 into the polynmial.

[tex]A= 3w^2-8w\\A=3(10)^2-8(10)\\A=300-80\\A=220[/tex]


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