My Math Forum Rectangles and Squares

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 September 1st, 2012, 06:48 AM #1 Member   Joined: Jul 2012 Posts: 32 Thanks: 1 Rectangles and Squares Four Squares are drawn on the four sides of a rectangle whose length is 4cm and breadth is 3 cm.What is the total area of the four squares and the rectangle? i got 3*3+4*4+3*3+4*4+2(3+4) but answer is 140cm^2
 September 1st, 2012, 07:30 AM #2 Member   Joined: May 2012 Posts: 78 Thanks: 0 Re: Rectangles and Squares The area of the rectangle is 3*4, not 2(3+4) - this is its perimeter. As it seems, the right answer is 62cm^2, not 140cm^2.
September 1st, 2012, 09:20 AM   #3
Math Team

Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
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Re: Rectangles and Squares

Hello, meghraj!

I don't suppose you made a sketch . . .

Quote:
 Four squares are drawn on the four sides of a rectangle whose length is 4cm and width is 3 cm. What is the total area of the four squares and the rectangle? The answer is 140 cm^2.[color=beige] . [/color][color=blue]How did they get this?[/color]

Code:
              4
*-------*
|       |
4|  16   |4
|       |
*---*-------*---*
3| 9 |  12   | 9 |3
*---*-------*---*
|       |
4|  16   |4
|       |
*-------*
4
$16\,+\,9\,+\,12\,+\,9\,+\,16 \:=\:\fbox{62}$

 September 3rd, 2012, 05:54 AM #4 Member   Joined: Jul 2012 Posts: 32 Thanks: 1 Re: Rectangles and Squares Thank U ....!

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# Four squares are drown on the four sides of a rectangle whose length is 4cm and breath is 3cm. What is the total area of the four squares and the rectangle

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