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in the figure below ,a rectangle of ...

in the figure below ,a rectangle of perimeter 763 untis is divided into 7 congruent rectangles :

what is the perimeter of each of the smaller rectangles ?

A

38

B

32

C

28

D

19

Text Solution

Verified by Experts

The correct Answer is:
C

`2(3a)+2(a+b)=76`
`implies 3a+a+b=38`
`implies 4a+b=38`
`& 3a+b=4b`
Solving (i) & (ii)
`16a+3a=38xx4`
`implies 19a =38xx4`
`implies a=8`
`implies b=6`
`therefore ` perimeter of smaller rectangle = (2+b)
`=(8+6)`
` =28.`
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