Question

find the area and perimeter of a square plot of land,the length of whose diagonal is 15 metres.

Answer 1

Hello,

we calculate the side of a square plot:
L=d/√2=15/√2=10.6 m

we calculate the perimeter:
P=L×4=10.6×4=42.4 m

we calculate the area:
A=L²=10.6²= 112.36 m²

bye :-)

Answer 2

SQuare:
   side = a
   Diagonal = √2 a

  so  √2 a = 15 m
         a = 15/√2 m

perimeter of square = 4 a = 4 * 15/√2 = 30 √2 m
Area = a² = (15/√2)² = 225/2 = 112.5 m²