find the new area of a rectangle which is 100 sqcm and its length and breadth increase by 50%.

Junior Class 1 Answered

find the new area of a rectangle which is 100 sqcm and its length and breadth increase by 50%.

Asked by macbeth88mr | 07 Jan, 2016, 06:07: PM

Expert Answer

$Let space straight l space be space the space length space and space straight b space be space the space breadth space of space the space rectangle. Area space of space rectangle space equals space 100 space cm squared space equals space straight l cross times straight b Increased space length space equals space straight l plus straight l over 2 Increased space space breadth space equals space straight b plus straight b over 2 New space area space space of space rectangle space equals space open parentheses straight l plus straight l over 2 close parentheses cross times open parentheses straight b plus straight b over 2 close parentheses equals straight l cross times straight b plus fraction numerator straight l cross times straight b over denominator 2 end fraction plus fraction numerator straight l cross times straight b over denominator 2 end fraction plus fraction numerator straight l cross times straight b over denominator 4 end fraction equals 100 plus 50 plus 50 plus 25 equals 225 Area space of space the space new space rectangle space is space 225 space cm squared.$

Answered by | 07 Jan, 2016, 06:15: PM