Question

A square and a rectangle have the same perimeter the side of the square is 40m, and one side of the rectangle is 30m which one has a greater area and by how much

Answer 1

Answer:perimeter is same so

4(72)=2(80+b)

288=160+2b

128=2b

64=b

area of rectangle =80*64

5120

area of square=72*72=5184

area of square is more than rectangle

by 5184-5120=64

Step-by-step explanation:

Answer 2

Answer:

Perimeter of square = 4s

Here s = 40m

So, 4s = 4×40 = 160 m

Perimeter of rectangle =2(l+b)

Here l= 30 and b = b

So 2(l+b) = 2(30+b)

160. = 60 +2b

→ 160 - 60 = 2b

→100 = 2b

→100/2 = b

So, b= 50m

Area of square =s²

Here s= 40m

So, s²=(40)²= 1600m²

Area of rectangle = l×b

Here l= 30 and b = 50

So, l×b = 30×50 = 1500m²

Therefore area of square is more than area of rectangle by 100m².