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A rectangle with integer side lengths is divided into four smaller rectangles

The perimeter of the largest and smallest of these rectangles are 28cm and 12cm

Which of the following is a possible area of the original rectangle

A Rectangle With Integer Side Lengths Is Divided Into Four Smaller Rectangles The Perimeter Of The Largest And Smallest Of These Rectangles Are 28cm And 12cm Wh class=

Sagot :

28/2=14

12/2=6

So it's half perimeter is 20

By trial and error the only possible solution is

8 * 12 = 96

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