2. The side of a square field is 50 m. A retangular field 80 m long ha

1.	2. The side of a square field is 50 m. A retangular field 80 m long has the sameperimeter as that of the square. Which field has a larger area ?
Answer» Given,Side of square = 50 mReactangular field length = 80 mReactangular field breadth = b Then,Perimeter of Reactangular field= 2(80 + b)Perimeter of Square field= 450 = 200 m 2(80 + b) = 20080 + b = 100b = 100 - 80 = 20 Thus, Area of square field = 5050= 2500 m^2Area of Reactangular field= lb = 8020 = 1600 m^2 Therefore square field has larger area

2. The side of a square field is 50 m. A retangular field 80 m long has the sameperimeter as that of the square. Which field has a larger area ?

Answer»

Given,Side of square = 50 mReactangular field length = 80 mReactangular field breadth = b

Then,Perimeter of Reactangular field= 2(80 + b)Perimeter of Square field= 4*50 = 200 m

2(80 + b) = 20080 + b = 100b = 100 - 80 = 20

Thus, Area of square field = 50*50= 2500 m^2Area of Reactangular field= l*b = 80*20 = 1600 m^2

Therefore square field has larger area