Question

In the figure given below, a rectangle of perimeter $76$ units 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

Answer: (C)

Perimeter of rectangle is $76$ units.

Let $x$ and $y$ are sides of each rectangles.
$\therefore$ Perimetre of rectangle $=6x+5y=76$ ...(i)
and $4x=3y$ ...(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