Question

Measurements of two rectangular fields are 50m x 30m and 60m x 40m. Find their perimeters. Check whether the perimeters are 2 x length + 2 x breadth.

Answer 1

Given, in rectangle ABCD, AB = DC = 50 m and BC = DA = 30 m

Perimeter of rectangle ABCD = AB + BC + CD + DA 

= 50 + 30 + 50 + 30 

= 2 x 50 + 2x 30 = 160 m 

∴ Perimeter of rectangle ABCD = 2 x length + 2 x breadth 

Given in rectangle PQRS, PQ = RS = 60 m and QR = SP = 40 m 

Perimeter of rectangle PQRS = PQ + QR + RS + SP 

= 60 + 40 + 60 + 40 

= 2 x 60 + 2 x 40 = 200 m 

∴ Perimeter of rectangle PQRS = 2 x length + 2 x breadth