Question

wire is bent in the shape ofa rectangle Its length is 40 cm and breadth is 24cm. It the same wire
mrhent in the shape ora square what will be the measure of each side? Also find which shape
enclosed more area​

Answer 1

Answer:

Measure of each side of square is 32 cm and Square shape has more area

Step-by-step explanation:

Perimeter of the rectangle wire is

= 2( length + breadth)

=2(40+24)=128 cm

let "a" be the sides of the square

Perimeter of rectangle is equal to perimeter of the square

128 = 4a

a= 128/4

a= 32 cm

Measure of each side of square is 32 cm

Area of rectangle = l x b = 40 x 24 = 960 sq cm

Area of the square = a x a = 32 x 32 = 1024

Square shape has more area

Answer 2

Length = 40cm
Breadth=24cm

Perimeter of rectangle =2(l+b)
=2(24+40)
=2(64)
=128cm

s=side of a square
Perimeter of square = 4s
128=4s
s=32cm

Therefore each side of square so formed is 32cm

Area of rectangle = lb
=40(24)
=960cm square


Area of square= s multiplied by s
=32(32)
=1024cm square


Therefore square encloses more area than rectangle


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