Question

The length of a rectangular field is three times its breadth. If the area of the field be 147 sq meters, find the length of the field.

Answer 1

Let the length and breadth of the rectangle be 3x m and x m, respectively. 

According to the question:  

3x × x = 147 

⇒ 3x² = 147 

⇒ x² = 49 

⇒ x = 7 or x = –7 

⇒ x = 7   ...(∵ x cannot be negative) 

∴ Length = 3 × 7

= 21 m

Breadth = 7 m