Question

28. A rectangular field
measures 900m by 100m and
a square field measures 300m
by 300m. 1.Do the two fields
have the same area? 2. Which
field requires more fencing
and by how much more?​

Answer 1

Step-by-step explanation:

Length of rectangle=400m

breadth of rectangle=100m

a) Area of rectangle=l×b

= 400×100

=40000m²

Side of square=200m

Area of square=(side)²

= (200)²

=40000m²

Yes, they have the same area.

b) perimeter of rectangle=2(l+b)

=2(400+100)

=1000cm

perimeter of square= 4×side

=4×200

=800cm

Hence, perimeter of rectangle is greater than that of square

So rectangle requires more fencing by 1000-800=200cm

rectangle requires more fencing by 200cm.

Answer 2

Answer:

1. Yes 2. Rectangular one by 800

Step-by-step explanation:

1. The rectangular field's area is length x breadth

Which is 900 x 100 = 9000

So, rectangular field is 9000m2

Square field area is side x side

Which is 300 x 300 = 9000

So, square field is 9000m2

Therefore, both fields have same area

2. Perimeter of rectangular field = 2 x (length + breadth)

Which is 2 x (900 + 100)

Which is 2 x 1000 = 2000m

Perimeter of square field = side x 4

Which is 300 x 4 = 1200m

So, rectangular field has more

2000-1200=800

So, rectangular field has more by 800m

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I hope this helps!