w EXERCISE 11.12
1. A square and a rectangular field has the same perimeters. The dimensions of rectangular field are
120 m x 90 m. Find out which field has the greater area
Answers
Step-by-step explanation:
given,
dimensions of rectangular is 120 and 90
and the perimeters of rectangle and square are same.
RTF: which has the greatest area.
perimeter of rectangle=2x(l+b)
2x(120+90)
2x210
420
perimeter of circle=4a=420. (because they both have same perimeters)
a=420/4
a=105
area of rectangle=lxb
120x90
=10800
area of Square=a²
105x105
=11025
so the square has the greatest amount of area.
Step-by-step explanation:
according to question
sq. and rec. have same perimeters
dimension of rectangle field=120×90
= perimeter of sq.= perimeter of rectangle
=4×side=2(l+b)
= 4×a= 2(120+90)
= 4a=2×210
=a=2×210/4
=a=105
hence each side of sq. is of 105m each
= area of sq=(a)²
=(105)²=11,025m² ans
area of rectangle=120×90=10,800m²ans
hence area of square field have larger area
HOPE THIS HELPS YOU.....