Finding the total space of a square using small 5" squares inside

Question

I have 501 5 inch squares that I need to put together into one big square. What would be the approximate size in feet of the final square?

Answer 1

Hi Kelly,

To help you, i'll make the assumption that the side lengths of the small squares are 5 inches long. Well, the area of a square is the side length squared, so if we have 501 of these squares, we can simply multiply the area of one of the small squares by 501.

That is to say if the side length (s) is 5, the area of the square is s².

If s = 5 ft,

Area of small square = (5ft)²

Area of small square = 25 ft²

Area of the big square = 501 * Area of the small squares

Area of the big square = 501*25 ft²

Area of the big square = 12,525 ft²

Answer 2

501^.5=22.383........each side

501*25=12525sq/in

/ 144=86.979................sq/ft