Question

rectangle is divided into certain number of equal parts. If 20 of the parts so formed represent the fraction 1/5, find the number of parts in which the rectangle has been d
ivided?​

Answer 1

Answer:

The rectangle was divided into 100 equal parts

Step-by-step explanation:

$Let \ l \ and \ b\ be\ length \ and\ the \ breadth \ of \ the \ rectangle \ and \ it \ is \\divided \ into \ n \ equal \ parts\\\\Area \ of \ the \ rectangle \ A_r = l \times b\\\\Area \ of \ each \ new \ part =\frac{lb}{n}\\\\As\ per\ given \ in\ the \ question:\\\\20\times \frac{ lb}{n} = \frac{lb}{5}\\\\\frac {20}{n} =\frac{1}{5}\\\\n =20\times 5\\\\n=100$

Thus the rectangle was divided into 100 equal parts