Question

The area of a rectangle is given by A = x2 + 4x – 5. Find the value of x if the total area of the rectangle is equal to 7 square units.
a) x = 1
b) x = 2
c) x = 7
d) x = 5

Answer 1

Set A=7 and solve for x.
\[x^{2}+4x-5=7\]\[x^{2}+4x-12=0\]\[(x+6)(x-2)=0\]
Only one answer will make sense.