Question

a circular copper wire of radius 7 cm is bent to form a rectangle . if breadth and length of the rectangle are in the ratio of 4:7 respectively, what is the breadth of rectangle ?(in cm)​

Answer 1

Explanation:

It is in the attachment.

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Answer 2

Question:

A circular copper wire of radius 7 cm is bent to form a rectangle.If the breadth and length of the rectangle are in the ratio of 4:7 respectively, what is the breadth of the rectangle?

Solution:

For circular wire

$r = 7cm$

$\implies Perimeter=2 \times \frac{22}{7} \times 7 \\ \implies Perimeter = 44cm$

$\boxed{\sf{Perimeter=2 \pi r}}$

Let the breadth of the rectangle be 4x and length be 7x.

The circular wire is bent to form a rectangle.

Therefore,

Perimeter of circular wire = Perimeter of rectangular wire

$44 = 2(l + b) \\ 22 = 7x + 4x \\ 22 = 11x$

$\boxed{\sf{x=2}}$

$\implies Breadth=4x \\ \implies Breadth = 4 \times 2$

$\boxed{\sf{Breadth=8cm}}$

Therefore, the breadth of the rectangle is 8cm.

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