Question

Is it possible to bend a 20 cm length of wire into the shape of a rectangle with an area 30 cm2?

Answer 1

Checking :


Let the length of rectangle will be ( x ) cm

So, Breadth will be ( 20 - x ) cm




If area would be 30 cm²

Length × breadth = 30

=> x( 20 - x ) = 30

=> 20x - x² = 30

=> x² - 20x + 30 = 0



$\mathbf{this \: \: is \: \: quadratic \: equation \: \: on \: solving \: which \: we \: get}$


=> x = 1.6334 or 18.3666



Hence, length or breadth will be 1.6334
On the basis of above length or breadth, remaining thing be will be 18.3666






Due to this activity, we came to know that it is possible.