The perimeter of a square whose diagonal is given would be =20√2.
How to calculate the perimeter of the given square?
To calculate the perimeter of the given square when diagonal is given , the following steps should be taken as follows:
Since diagonal divides the square into two triangles, a Pythagorean formula should be used
Taking: ∆ABC
AB² +AD² = BD²
a²+a² = 10²
2a² = 100
a² = 50
a = √50
= 5√2cm.
Perimeter of square:
= 4× 5√2
= 20√2
= 28.28cm.