Question

A square has an area of 144 in^2. What is the length, to the nearest inch, of the diagonal?

Answer 1

The length of the diagonal is 17 in

Explanation:

The area of the square = $144 \ in^2$

The formula for area of the square is given by

 $A=a^{2}$

$144=a^{2}$

 $12=a$

The sides of the square are 12 inches.

The length of the diagonal of a square can be determined using the Pythagorean theorem.

Let d be the diagonal of the square.

Thus, we have,

$12^{2}+12^{2}=d^{2}$

$144+144=d^{2}$

      $\sqrt{288} =d$

      $16.97=d$

Rounding off to the nearest inch, we get,

$d=17 \ in$

Thus, the length of the diagonal is 17 in