Question

The area of square is twice the area of rectangle. If the area of square is 324sq.Cm.And the length of rectangle

Answer 1

Correct Question -

The area of a square is twice the area of rectangle.

If the area of square is 324 square centimetres and the length of the rectangle is 13.5 cm ,

What is the difference between the breadth of the rectangle and the side of the square?

In the above Question , we have the following information -

The area of square is twice the area of rectangle.

The area of the square is 324 square centimeters .

the length of the rectangle is 13.5 cm ,

Solution -

Here ,

The area of square is twice the area of rectangle.

So ,

Area of square is 324 square centimeters .

Area of Rectangle = 2 × Area of Square

=> 2 × 324 cm^2

=> 648 square centimeters .

Now,

We know that -

Area of a rectangle = Length × Breadth

Here , we have the value of the length as 13.5 cm

=> 648 = 13.5 × Breadth

=> Breadth = [ 648 ] / [ 13.5 ]

=> Breadth = 48 cm.

Now , we also know that -

Area of square = a^2

Where , a is the side of the square .

So ,

a^2 = 324

=> a = 18 cm

Now , we have been asked to find the value of -

the difference between the breadth of the rectangle and the side of the square .

=> 48 cm - 18 cm

=> 30 cm........ [ A ]

______________________

Answer 2

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☯ ᴀɴꜱᴡᴇʀ :-

⇨ᴀʀᴇᴀ ᴏꜰ ꜱQᴜᴀʀᴇ ɪꜱ 324 sq cm.

⇨ꜱᴏ ꜱɪᴅᴇ ᴏꜰ ꜱQᴜᴀʀᴇ ɪꜱ 18 ᴄm.

⇨ᴀʀᴇᴀ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ ɪꜱ ᴛᴡɪᴄᴇ ᴏꜰ ꜱQᴜᴀʀᴇ .

⇨ꜱᴏ ᴀʀᴇᴀ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ ɪꜱ 2× 324 sq cm, i.e. 648 sq.cm.

⇨ʟᴇɴɢᴛʜ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ ɪꜱ 13.5 cm.

⇨ꜱᴏ ʙʀᴇᴀᴅᴛʜ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ ɪꜱ 648/13.5 = 48 cm.

⇨ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ʙʀᴇᴀᴅᴛʜ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ ᴀɴᴅ ꜱɪᴅᴇ ᴏꜰ ꜱQᴜᴀʀᴇ ɪꜱ 48 cm –18 cm = 30 cm

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