Question

An artist wants to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting

Answer 1

Area of square painting is 400 square inches.

Let the side of square painting is = a inch

So the area of square painting is = $a^2$ square inch.

So $a^2 = 400 a = \sqrt{400}$

$a = 20 inch$

Length of wood trim to need to go around the painting is equal to the perimeter of square painting .

So the perimeter of square painting is = 4 * (side)
                                                                  = 4* 20 = 80 inch.

So the required length of wood trim is = 80 inch.