Question

A wire is in the shape of a square of side 12 cm. If the wire is rebent into a rectangle

of length 8 cm, find its breadth. It is again rebent into an equilateral triangle. Find the side

of the equilateral triangle.​

Answer 1

Answer:

breath of the rectangle = 16 cm, side of the equilateral triangle = 16 cm

Step-by-step explanation:

perimeter of the square = 12*4 = 48

=> breath of the rectangle = (48/2) - (8*2) = 16 cm

=> sides of the equilateral triangle = 48/3 = 16

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Answer 2

Solution:

Breadth of rectangle : 16cm

Sides of the equilateral triangle : 16cm

Explanation:

Total length of the wire is 48cm as the square has 12cm on all sides.

For a rectangle, one side is 8cm. Obviously the other side opposite to the length of the rectangle is also 8cm.

Now add the two lengths 8+8=16.

Subtract 16 from the total length (48cm), we get 32.

Divide 32 by 2, we get 16.

So the breadth of the rectangle is 16cm.

For an equilateral triangle all 3 sides and angles are equal.

Let's consider only sides of the equilateral triangle.

Divide 48 by 3 gives 16 which is the side of an equilateral triangle.