Question

The width of a recruits 3 cm more than its length. It’s perimeter is 50 cm. Find it’s dimensions.

Answer 1

Answer: Length  = 11 cm

Width = 14 cm

Step-by-step explanation:

Let x = Length of the rectangle.

then, width = x+ 3

Perimeter of rectangle =  2 (length +width)

Then, Perimeter = 2 (x+x+3)

= 2 (2x+3)

Since perimeter = 50 cm

$\Rightarrow\ 2(2x+3)=50$

$\Rightarrow\ 2x+3=25$                              [Divide both sides by 2]

$\Rightarrow\ 2x=22\\\\\Rightarrow\ x=11$

The dimensions are :

Length  = 11 cm

Width = 11+3= 14 cm