Question

4. The breadth of a rectangular room is
two third of its length. If the area of the
room is 2400 sq.m. find length of the
room:​

Answer 1

Answer:

Let length of the rectangle=x

Let breadth of the rectangle=2x/3

given area=2400sq.m

Area of a rectangle=x*2x/3

=2x²/3

2x²/3=2400

2x²=2400*3

2x²=7200

x²=7200/2

x²=3600

x=√(3600)

x=60

So length=x=60m

and breadth=2x/3=2*60/3=40

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Answer 2

Given,

The breadth of a rectangular room is two third of its length.

The area of the room is 2400 square meters.

Then,the length of the room = ?

Let the length of the room be 'x'.

Then the breadth is 2/3 of x or 2x/3.

Area of rectangle = 2(l+b)

Where, l = length of the rectangle.

b=breadth of the rectangle.

Now substitute the values of area,length and breath in the formula.

2400 = 2(x+2x/3)

2400 = 2(3x+2x/3)

2400 = 2(5x/3)

2400 = 10x/3

2400×3 = 10x

7200 = 10x

x = 7200/10

x = 720.

Therefore the length of the rectangle is 720cm.

The breadth of the rectangle is 2x/3=2×720/3=1440/3=480cm.

Verification:

Area of rectangle = 2(l+b)

2400 = 2(720+480)

2400 = 2(1200)

2400 = 2400