A piece of wire 40 cm long is cut into two piece, each to be bent to make a square. The length of a side of one square is to be 4 longer than length of a side of the other. How should the wire be cut

Question

Mathematics

Rashad Brady

13 October, 23:59

A piece of wire 40 cm long is cut into two piece, each to be bent to make a square. The length of a side of one square is to be 4 longer than length of a side of the other. How should the wire be cut

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Answers (1)

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Mary Greer · Answer 1

Answer: the wire should be cut into 12 cm and 28 cm

Step-by-step explanation:

All sides of a square is equal.

The perimeter of a square is the distance around the square.

Let L represent the length each side of one of the squares. Then the perimeter of this square is 4L.

The length of a side of one square is to be 4 longer than length of a side of the other. This means that the length of each side of the other square is L + 4

The perimeter of the other square would be 4 (L + 4) = 4L + 16

Since the piece of wire is 40 cm long, then

4L + 4L + 16 = 40

8L = 40 - 16 = 24

L = 24/8 = 3

The perimeter of the first square is

4L = 4 * 3 = 12

The perimeter of the second square is

4L + 16 = 4 * 3 + 16 = 28