Question

the digonal of ractangular field is 60 meter more then the shorten side if longer side is 30 meter more then the shortet side find two side of the field​

Answer 1

Step-by-step explanation:

Assume that the shorter side is x m.

The digonal of ractangular field is 60 meter more then the shorten side if longer side is 30 meter more then the shortet side.

Therefore,

The diagonal side is (x + 60) m and longer side is (x + 30) m.

By Pythagoras theorem,

H² = P² + B²

Diagonal² = (Longer side)²+ (Shorter side)²

(60 + x)² = (30 + x)² + x²

3600 + x² + 120x = 900 + x² + 60x + x²

3600 - 900 + 120x - 60x - x² = 0

2700 + 60x - x² = 0

x² - 60x - 2700 = 0

x² - 90x + 30x - 2700 = 0

x(x - 90) +30(x - 90) = 0

(x + 30)(x - 90) = 0

x = 90

Hence, the shorter side is 90m and longer side is 120m.