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

`4√(7)\ ft`

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=√(112) \ ft`

Simplify

`b=\sqrt{2^(4)*7} =4√(7)\ ft`