Question

56) The length of a rectangle is twice it's breadth. If it's
length is decreased by 5 cm and breadth is increased
by 5 cm, the area of the rectangle is increased by 75
am2. Then the length of the rectangle is
a) 20 cm
b) 30 cm
c) 40 cm
d) 50 cm​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

C)40 cm

Step-by-step explanation:

Let breadth=x

⇒ Length=2x

⇒ Area of rectangle=2x×x

=2x

2

After the given changes;

length=2x−5

Breadth=x+5

Area=2x

2

+75

⇒(2x−5)(x+5)=2x

2

+75

2x

2

−5x+10x−25=2x

2

+75

5x=75+25=100

⇒x=20

⇒ Breadth=20cm

Length=40cm.