Question

If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s +4)2 196 for s to find the length of a side of the patio. Provide your answer below: Sfeet ??

Answer 1

(s + 4)^2 = 196 s + 4 = squareroot 196 s + 4 = squareroot 14^2 s = 4 = 14 ......... taking only positive sign because length is negative s = 14 - 4 s = 10 feet

$\large s+4=\sqrt{196}$

$\large s+4=\sqrt{14^2}}$

$\large s+4=14$ .................taking only positive sign because length is never negative

$\large s=14-4$

$\large {\color{Red} s=10}$ feet

.

.