Question

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?

Answer 1

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

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.