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Question

A thin wire 20 centimeters long is formed into a rectangle. If the width of this rectangle is 4 centimeters, what is its length?

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Solution

Perimeter of the rectangle = 20 cm

We know, Preimeter of a rectangle = 2 × length + 2 × breadth
So, 2 × length + 2 × breadth = 20 cm
Given, breadth = 4 cm.
2 × length + 2 × 4 = 20 cm
2 × length + 8 = 20 cm
But we know that 12 + 8 = 20
So, 2 × length = 12
We know, 2 × 6 = 12
So ,length = 6 cm

The length of the rectangle made from the given wire is 6 cm.

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