Question

3. A student is painting an accent wall in her bedroom. The length of the wall is three feet more than

Answer 1

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 + $W^{2}$ = 0

                                  or,  $W^{2}$  + 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.