A 4-inch by 5-inch picture with a border of unknown width that together cover an area of 56 square inches.

negative 16 times x squared plus 22 times x plus 24 equals 0
4 times x squared plus 10 times x minus 14 equals 0
negative 16 times x squared plus 24 times x plus 22 equals 0
4 times x squared plus 18 times x minus 36 equals 0

Question

A 4-inch by 5-inch picture with a border of unknown width that together cover an area of 56 square inches.

    negative 16 times x squared plus 22 times x plus 24 equals 0
    4 times x squared plus 10 times x minus 14 equals 0
    negative 16 times x squared plus 24 times x plus 22 equals 0
    4 times x squared plus 18 times x minus 36 equals 0

goformit100 · Answer

@radar

radar · Answer

Work just like the 2 in by 3 in but now it is 4 in by 5 in

radar · Answer

The area (56 sq in.) = (4 + 2x) (5 + 2x)

radar · Answer

56 = 20 + 18x + 4x^2     Rearrange into a more familiar manner.
4x^2 +18x - 36= 0

goformit100 · Answer

Ok... then ?

tkhunny · Answer

Divide by 2.
Factor.

radar · Answer

You can do that, but the answer as given in the problem does not.

tkhunny · Answer

Always worth a try.
Divide by 2.
Quadratic formula.

radar · Answer

factor if you want to solve for x.

radar · Answer

@tkhunny don't you agree the last choice is the best?

tkhunny · Answer

Sure.

Since when can't @goformit100 format math text?  Is someone else hacking the account?