Question

two plots of land,one square and other rectangle have same perimeter. if the rectangular field is size of 90 m by 70 m, which plot has the greater area and by how much?

Answer 1

Answer:

Step-by-step explanation:

perimeter of rectangular field =2(90+70)

2*160=320m= perimeter of square

320=4*side

side of square=80m

area of rectangle=90*70=6300m²

area of square=80²=6400m²

then square has greater area.

Answer 2

Answer:

Step-by-step explanation:

Perimeter of rectangle = 2 x ( L + B )

= 2 x (90 + 70 )

= 2 x 160

= 320 m

Perimeter of square = perimeter of rectangle

Perimeter of square = 4s

4s = 320

s = 320/4

s = 80 m

Length of rect = 90

Breadth of rect = 70

Area = L x B

= 90 x 70

= 6300 m

Area of square = s x s

= 80 x 80

= 6400m

The area of square is greater than the the area of the rectangle by 100m