a retangular field measures 400m by 100m and a square field 200m by 200m

A -do the two fields have the same area?
B - which field requires more fencing and by how much?

400 x 100 = 40,000

200 x 200 = 40,000
Therefore, they are equal.

give me answer

B. rectangle: Pr = 2L + 2W = 2*400 + 2*100 =

Square: Ps = 4S = 4*200 =
Pr - Ps = ?
Pr = Perimeter of rectangle.
Ps = Perimeter of square.

is this answer is correct?

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.

A - No, the two fields do not have the same area. The rectangular field has an area of 400m * 100m = 40,000 square meters, while the square field has an area of 200m * 200m = 40,000 square meters as well. So they do have the same area. What a coincidence!

B - Now, let's talk about the fencing situation. The rectangular field has a perimeter of 2 * (400m + 100m) = 1000 meters. On the other hand, the square field has a perimeter of 4 * 200m = 800 meters. So, the rectangular field requires 1000 meters of fencing, while the square field only requires 800 meters. Therefore, the rectangular field requires 1000 - 800 = 200 meters more fencing. Looks like the rectangular field needs a little extra to keep itself contained!

To find the areas of the two fields, you need to multiply the length by the width. Let's calculate the areas and answer both questions.

A - Do the two fields have the same area?
1. Rectangular Field: Length = 400m, Width = 100m
Area_of_Rectangular_Field = Length * Width = 400m * 100m = 40,000 square meters.

2. Square Field: Length = 200m, Width = 200m
Area_of_Square_Field = Length * Width = 200m * 200m = 40,000 square meters.

Since the areas of both fields are equal (40,000 square meters), the answer is: Yes, the two fields have the same area.

B - Which field requires more fencing and by how much?
1. Rectangular Field: Perimeter of a rectangle = 2 * (Length + Width)
Perimeter_of_Rectangular_Field = 2 * (400m + 100m) = 2 * 500m = 1000 meters of fencing required.

2. Square Field: Perimeter of a square = 4 * Length
Perimeter_of_Square_Field = 4 * 200m = 800 meters of fencing required.

The difference in required fencing is:
1000 meters - 800 meters = 200 meters.

Therefore, the Rectangular Field requires more fencing by 200 meters compared to the Square Field.