Question

Two fields have the same perimeter. One is a square of side 64 metre and other is a rectangle of length 70 metre. Which plot has the greater area and by how much.​

Answer 1

Answer:

square has more area by 36

Step-by-step explanation:

area of square = 64*64

= 4096

same perimeter of both square and rectangle..

(l + b)*2 = 64*4

l of rectangle is given 70

b = 64*2 -70

b = 58

now..

area of rectangle. l*b

area = 58*70= 4060... less than square

Answer 2

Side of square = 64 m

Therefore its perimeter = 4 x side

= 4 x 64 m

= 256 m

So perimeter of rectangle = 256 m

Now 2( l + b ) = 256 m

Therefore b = (perimeter/2) - l

= ( 256 m /2) - 70 m

= 128 m - 70 m

= 58 m

So are of rectangle = l x b

= 70 m x 58 m

= 4060 m^2

Area of square = side x side

= 64 m x 64 m

= 4096 m^2

Difference between are of square and rectangle

= 4096 m^2 - 4060 m^2

= 36 m^2

So area of square is greater by

36 m^2