if the diagonal of a square is 11.3 meters approximately what is the perimeter of the square?

Answer 1

A square has four equal sides. The diagnol line will make two triangles in the square with a 90-45-45 degree angles, therefore two equal sides with a hypothenuse( the diagnol line). Using Pythagorean theorem,

a^2+b^2=c^2

c=11.3 meters

a=b( since equal sides)

so

2a^2=(11.3)^2

2a^2=127.

divide 2 on both sides

a^2=63.5

a=7.968

a is one side of a square, you will multiply the side times 4 which will equal your answer of 31.874 m.

Answer 2

The diagonal forms the hypotenuse two congruent 45-45-90 right triangles. Thus one of the sides is 11.3/sqrt(2) = 8, Since all sides of a square are equal, the perimeter is 4*8 = 32 m.