Question

A square picture frame occupies an area of 112 ft2. What is the length of each side of the picture in simplified radical form?

Answer 1

A = a^2
112 = a^2
sqrt 112 = a
sqrt 16 * sqrt 7 = a
4 sqrt 7 = a

so 4 sqrt 7 is the length of each side

Answer 2

Answer:

$4\sqrt{7}\ ft$

Step-by-step explanation:

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

In this problem we have

$A=112\ ft^{2}$

substitute in the formula and solve for b

$112=b^{2}$

Square root both sides

$b=\sqrt{112} \ ft$

Simplify

$b=\sqrt{2^{4}*7} =4\sqrt{7}\ ft$