Question

10. The breadth of a rectangular room is two- third of its length. If the area of the room is 2400 m. Find the length of the room.
(a) 50 m (b) 60 m (c) 80 m (d) 100 m​

Answer 1

Given:

• The breadth of a rectangular room is two- third of its length.
• If the area of the room is 2400 m².

Find:

• the length of the room.

solution:

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

Answer 2

Answer:

Given:

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

If the area of the room is 2400 m².

Find:

the length of the room.

solution:

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

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Step-by-step explanation:

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