Question

12. If the length of a rectangle is 4 times the
breadth and perimeter is 200 cm, find the length
and breadth of the rectangle.​

Answer 1

Answer:

Let the breadth of the rectangle be x cm.

Then, length = 3x cm

New breadth =(x+5) cm

New length =(3x−3)cm

Then, (x+5)(3x−3)−3x×x=57

⇒3x

2

+12x−15−3x

2

=57

⇒12x=57+15=72⇒x=6

∴ Breadth = 6 cm, Length = 18 cm

Perimeter =2(6cm+18cm)=2×24cm=48 cm

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Answer 2

Answer:

The length is 80cm and 20cm