Math, asked by chenavenasathish, 11 months ago

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer
side is 30 metres more than the shorter side, find the sides of the field.
horn i 180 The square of the smaller number is by using formula

Answers

Answered by MANISHRAUNAK
2

Answer:

So the length of the shorter side is 90 meters and the length of the longer side is 90 + 30 = 120 meters. Answer. Let the shorter side of the rectangular field be 'x' meters. Therefore the longer side will be (x + 30) meters

Answered by srishtiyadav264
8

Answer: shorter side = 90 m

Longer side = 120 m

Step-by-step explanation

Let shorter side be x

Longer side = 30 + x

Diagonal = 60 + x

USING PYTHAGORAS THEOREM

(60 +x)^2 = (x)^2 + (30 + x)^2

Solving USING identities we get

x^2 - 60x - 2700 = 0

USING factorisation

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

(x - 90) × ( x + 30) = 0

If x - 90 = 0

x = 90m

If x + 30 = 0

x = -30m

Since length cannot be negative

So x = 90m

Shorter side = 90m

Longer side = 30 + x = 120m

Diagonal = 60 + x = 150m

HOPE IT HELPS

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