Math, asked by realadityasingh504, 8 months ago

द लेंथ ऑफ ईटिंग आइस रिटर्न एंड द ब्रेथ बाय 3 सेंटीमीटर द लेंथ इज इनक्रीस बाय 9 सेंटीमीटर 35 सेंटीमीटर सेंटीमीटर एंगलthe length of a rectangle is greater than the breadth by 3 cm the length is increased by 10% when the breadth is reduced by 5 centimetre area remains the same find the definition of the rectangle​

Answers

Answered by pakerabadmanoj
0

Answer:

18 cm

Step-by-step explanation:

Let the breadth be x cm.

Then the length will be (x+3) cm.

Area of the rectangle = x(x+3) cm^2.   ---------------- (1)

Given that length is increased by 9cm = x + 3 + 9 = x + 12 cm.

Given that breadth is reduced by 5cm = x - 5 cm.

Area of the rectangle = (x+12)(x-5).   -------------- (2)

On solving (1) and (2), we get

x(x+3) = (x+12)(x-5)

x^2 + 3x = x^2 + 7x - 60

4x = 60

x =  15.

Breadth = 15cm.

Length = 15 + 3 = 18 cm.

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