qdestions carries 5 marks each.30 The diagonal of a rectangular field

1.	qdestions carries 5 marks each.30 The diagonal of a rectangular field is 60m more thanshorter side. If thelonger side is 30m more than the shorter side, find the sides of the field.nf the hottom
Answer» Let length of Reactangle field be lLet breadth of Reactangle field be b Then,Let shorter side be b and longer side be lsqrt(l^2 + b^2) = b + 60l^2 + b^2 = b^2 + 3600 + 120bl^2 - 3600 - 120b = 0.......(1) l = b + 30........(2) Put value of b from eq(2) in eq(1)l^2 - 120(l - 30) - 3600 = 0l^2 - 120l + 3600 - 3600) = 0l(l - 120) = 0l = 0, 120 b = l - 30 = 120 - 30 = 90 Therefore, length = 120 mbreadth = 90 m

qdestions carries 5 marks each.30 The diagonal of a rectangular field is 60m more thanshorter side. If thelonger side is 30m more than the shorter side, find the sides of the field.nf the hottom

Answer»

Let length of Reactangle field be lLet breadth of Reactangle field be b

Then,Let shorter side be b and longer side be lsqrt(l^2 + b^2) = b + 60l^2 + b^2 = b^2 + 3600 + 120bl^2 - 3600 - 120b = 0.......(1)

l = b + 30........(2)

Put value of b from eq(2) in eq(1)l^2 - 120(l - 30) - 3600 = 0l^2 - 120l + 3600 - 3600) = 0l(l - 120) = 0l = 0, 120

b = l - 30 = 120 - 30 = 90

Therefore, length = 120 mbreadth = 90 m