Question

The length of a rectangle is 2 centimeters more than 3 times the width. If the perimeter of the rectangle is 36 centimeters, what is the length of the rectangle?

Answer 1

S O L U T I O N :

Let the width of a rectangle be x cm & let the length of a rectangle be 3x + 2 cm respectively.

The perimeter of the rectangle = 36 cm

As we know that formula of the perimeter of rectangle;

$\boxed{\bf{Perimeter = 2(length + breadth) }}$

A/q

$\mapsto\tt{2(3x + 2 + x ) = 36}$

$\mapsto\tt{2(4x + 2 ) = 36}$

$\mapsto\tt{8x + 4 = 36}$

$\mapsto\tt{8x = 36- 4}$

$\mapsto\tt{8x = 32}$

$\mapsto\tt{x = \cancel{32/8}}$

$\mapsto\bf{x =4\:cm}$

Thus,

• Length of a rectangle, (L) = 3x + 2 = 3(4) + 2 = 12 + 2 = 14 cm
• Breadth of a rectangle, (B) = x = 4 cm