Question

Pythagorean

Answer 1

1250m²

Rectangle

perimeter=2(L+B)

2(L+B)=250.....equ(1)

Area= L×B

L×B=2500......equ(2)

Solving simultaneously by direct substitution

from equ (1) L=125-B

substituting it's value into equ (2) gives that (125-B)B=2500

125B-B²=2500

solving quadratically gives B1= 100m B2=25m

substituting it's value in equ (1) gives L1= 25m L2=100m

when the rectangular field is cut diagonally into two halves then we have two right angled triangle

area of a triangle=½B×H=½L×B

then we have ½×100×25= 1250m² for each triangle.