Q36 / 60 · KVPY 2015 (SA) · Mathematics

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

  • A
    38
  • B
    32
  • Correct answer
    C
    28
  • D
    19

Solution

Let Sides of Rectangle are $x$ \& y Then $$ \begin{array}{l} 5 x+6 y=76 \\ 4 y=3 x \end{array} $$ After solving we get $y=6, x=8$ Perimeter $=2(x+y)=28$

Hence, the correct answer is option: 'C'.

More Straight Lines Questions