Q. 1

# The length of a r

Given: Length of hall (l) = 5 + breadth(b) = 5 + b

Area of hall = 750 m2 We know that,

Area of rectangle = Length × Breadth

750 = (5 + b) × b

750 = b2 + 5b

b2 + 5b – 750 = 0

b2 + 30b – 25b – 750 = 0

b(b + 30) 25(b + 30) = 0

(b + 30) (b 25) = 0

This gives us two equations,

i. b + 30 = 0

b = -30

ii. b – 25 = 0

b = 25

Since, the length of the rectangle cannot be negative

Therefore, b = 25 m

l = (b + 5) m

l = (25 + 5) m

l = 30 m

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