Question

A carpet 5 m long and 4 m wide is laid in a square room of side 7m.find the area of the floor left uncovered

Answer 1

Given,

$Length \: of \: carpet = 5m$

$Breadth \: of \: carpet = 4m$

$Therefore \: area \: of \: carpet = l \times b$

$= 4 \times 5 = 20 {m}^{2}$

$Now,\: side \: of \: square \: room = 7m$

$Therefore, \: area \: of \: room = s \times s$

$= 7 \times 7 = 49 {m}^{2}$

$Area \: of \: floor \: left \: uncovered =$

$Area \: of \: room - area \: of \: carpet$

$49 {m}^{2} - 20 {m}^{2} = 29 {m}^{2}$

Therefore,area of floor left uncovered is 29m^2.