Question

The sides of a rectangle drawn on paper are in the ratio 5 : 6. When the rectangle is constructed in reality , it is 30 times the one drawn on paper.

If the Length of the Real rectangle is 720 cm, then find the perimeter of the rectangle which is on paper.

• A. 80 cm
• B. 84 cm
• C. 88 cm
• D. 92 cm

Answer 1

The correct option is C

88 cm

Ratio between Length and Breadth = 6 : 5

Length = 6x and breadth = 5x

Real rectangle is 30 times the one on paper.

So, Length of Rectangle on paper = $\frac{720}{30}$ = 24 cm = 6x

$\Rightarrow$ x = 4

Breadth of the rectangle = 5x = 5 $\times$ 4 = 20 cm

Perimeter of the rectangle on paper = 2( l + b ) = 2 (24 + 20) = 2(44) = 88 cm