Question

Two plots of land, obe square and otjer rectangle have same perimeter . If the rectangular field is of size 90m by 70m, which plot has the greater area and by how much

Answer 1

the rectangular field is of size 90m by 70m,

∴perimeter of rectangular field=2[length+breadth]

∴perimeter of rectangular field=2[90m+70m,]

∴perimeter of rectangular field=320m

∴perimeter of square field=4×side

∴perimeter of square field=perimeter of rectangular field

4×side =320m

side =320m /4

side =80m

Area of square field=[side]^2

Area of square field=[80]^2

Area of square field=6400 sq m

Area of rectangular field= L×B

Area rectangular field=90m×70m

Area rectangular field=6300 sq m

Area of square field greater area than rectangular field ANS  [1]

Area of square field greater area than rectangular field by 6400 sq m-6300 sq m

greater area and by 100sq m ANS [2]

field