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
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
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
PLS MARK BRAINLIEST
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