Question

The breadth of a rectangle is one fifth of its length if the area of a rectangle is 125 CM square find the length and breadth of the rectangle

Answer 1

Step-by-step explanation:

Let the length of rectangle be x cm.

$\therefore \: breadth \: of \: rectangle = \frac{1}{5} x \\ Area \: of \: rectangle = 125 \\ x \times \frac{1}{5} x = 125 \\ \frac{ {x}^{2} }{5} = 125 \\ {x}^{2} = 5 \times 125 \\ {x}^{2} = 625 \\ x = \sqrt{625} \\ x = 25 \: cm \\ \frac{1}{5} x = \frac{1}{5} \times 25 = 5 \: cm \\ hence \\ length \: of \: rectangle \: = 25 \: cm \\ breadth \: of \: rectangle \: = 5 \: cm$