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  4. In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/f23011d611689cf059e30b286567df03-.png /> What is the perimeter of each of the smaller rectangles?

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Q. In the figure given below, a rectangle of perimeter $76$ units is divided into $7$ congruent rectangles.
image
What is the perimeter of each of the smaller rectangles?

KVPYKVPY 2015

Solution:

Perimeter of rectangle is $76$ units.
image
Let $x$ and $y$ are sides of each rectangles.
$\therefore$ Perimetre of rectangle $=6 x+5 y=76$ ...(i)
and $4 x=3 y$ ...(ii)
On solving Eqs. (i) and (ii), we get
$x=6, y=8$
$\therefore$ Perimeter of each rectangle
$=2(x +y)=2(6+8)=28$ units