Question

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

Answer 1

Correct Answer - 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.`