Question

16. A wire in the shape of a square of side 10 cm. Ifthe wire in rebent into rectangle of length 12 cm find the breadth .
Which encloses more area the square or the rectangle.
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Answer 1

Answer:

Breadth=8cm

The square encloses more area.

Step-by-step explanation:

Perimeter of the square=4x10

=40cms

Perimeter of the rectangle=40cms

2×(l+b)=40cms

2×(12+b)=40

12+b=40÷2

=20cms

b=20-12

b=8cms

Area of the square=s×s

=10×10

=100cm^2

Area of the rectangle=l×b

=12×8

=96cm^2

Therefore the square encloses more area than the rectangle.

Hope this helps you!!

Answer 2

Answer:

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Step-by-step explanation:

Side of the square = 10 cm

Length of the wire = Perimeter of the square

= 4 x side

= 4 x 10cm

= 40 cm

Length of the rectangle, l = 12 cm. Let b be the breadth of the rectangle.

Perimeter of rectangle Length of wire = 40 cm

Perimeter of the rectangle = 2 (l + b)

40 = 2 (12 + b)

(OR) 40 / 2 = 12 + b

b = 20 - 12 = 8 cm

Therefore,The breadth of the rectangle is 8 cm.

Area of the square = (side)²

= 10 cm × 10 cm = 100cm²

Area of the rectangle = l × b

= 12cm × 8cm = 96cm²

So , the square encloses more area even though its perimeter is the same as that of the rectangle.