Problema Solution

Determine the dimensions of a rectangle with perimeter 100cm, if lenght is 4cm longer then it's breadth

Answer provided by our tutors

let


l = the length of the rectangle

b = the breadth of the rectangle

P = 100 cm the perimeter of the rectangle


P = 2 (l + b) is the formula for perimeter thus we have


2(l + b) = 100 divide both sides by 2


l + b = 50


the lenght is 4cm longer then it's breadth


l = b + 4


by solving the system of equations


l + b = 50

l = b + 4


we find


l = 27 cm


b = 23 cm


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the length is 27 cm and the breadth is 23 cm.