Problema Solution

A string is formed into a rectangle with a area of 14cm2 if it is reshaped so that the 2cm side is 2cm longerhow will the area change

Answer provided by our tutors

let


l = the length of the rectangle

w = 2 cm the width of the rectangle


l*w = 14 cm^2


2l = 14


after the reshaping the new sides are


w + 2 = 2 + 2 = 4 cm the width

l - 2 = the length


the area of the new rectangle is


4(l - 2) = 4l - 8 = 2*14 - 8 = 20 cm^2.


the area will increase by 4 cm^2.