The length and breadth of a rectangular plot are in the ratio of 3:2 If the perimeter of the - Maths - Mensuration

Question

The length and breadth of a rectangular plot are in the
ratio of 3:2 If the perimeter of the plot is 3 m 80 cm , find its
dimensions

Varun.Rawat · Accepted Answer

Let the length of the plot = 3x cmthen breadth of the plot = 2x cmNow, perimeter = 3m 80 cm = 300 cm + 80 cm = 380 cm   as, 1 m = 100 cm⇒2length + breadth = 380⇒3x + 2x = 190⇒5x = 190⇒x = 1905 = 38So, length of plot = 3 × 38 = 114 cm breadth of the plot = 2 × 38 = 76 cm

The length and breadth of a rectangular plot are in the ratio of 3:2. If the perimeter of the plot is 3 m 80 cm , find its dimensions.