Question

diagonal of a rectangular field is 60 M more than its breadth if its length is 30 more than the breadth find the length and breadth of the field​

Answer 1

Answer:

Let length of shorter side = x m

length of bigger side = (x + 30) m

length of diagonal = (x + 60) m

we have to use Pythagoras theorem,

so, diagonal ² = bigger side² + shorter side²

=> (x + 60)² = (x + 30)² + x²

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

=> 60x + 2700x = x²

=> x² - 60x - 2700 = 0

=> x² - 90x + 30x - 2700 = 0

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

=> x = -30 and 90 but x ≠ -30

hence, length of shorter side = 90m

length of bigger side = 120m

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