Question

A floor area of 180 m sq. is made up of 9 tiles as shown. what are the length of its hypotenuse?

Answer 1

since the floor is made up of 9 tiles we can calculate the area of 1 tile by dividing 180 by 9
ie 180/9 = 20m



now we know that 20 m is the area of one tile so to get the side of one tile we divide 20 by 4
ie 20/4 = 5 m

now to get the hypotenuse we take the sides as 5 m each
ie hypotenuse square = 5×5+5×5
ie hypotenuse =
$5\sqrt{2}$
hope this is correct
thanks :))