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3. A student is painting an accent wall in her bedroom. The length of the wall is three feet more than
its width. The area of the wall is 130 square feet. What are the dimensions of the accent wall?

Respuesta :

lavanyaande

The dimensions of the wall is:  length = 13 feet and width = 10 feet.

Step-by-step explanation:

Let the length and width of the wall be represented by L and W,

then by the question:

                                      L = 3+W...............................................(1)

And,

                                      Area = L* W

                                  or, L *W = 130.........................................(2)

solving equation 1 and 2,

                                      (3+W) W = 130

                                  or, -130 + 3W + [tex]W^{2}[/tex] = 0

                                  or,  [tex]W^{2}[/tex]  + 13W - 10W - 130 =0

                                  or, W(W+13) -10(W+13) = 0

                                 or, W =10, W= -13

Taking positive value we get, W= 10 feet

And, L = 3+10 = 13 feet

Hence the length and width of the wall is 13 feet and 10 feet.

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