Question

A wire of length 16m is to folded in the form of a rectangle. How many rectangles or squares can be formed by folding the wire if the sides are positive integers in metres? Write down the measures of their sides.​

Answer 1

a) there is one square of sides 4m

Answer 2

Answer:

It is given that a wire of length 20 m is to be folded in the form of a rectangle;

∴ we have: Perimeter of the rectangle =20 m

⇒2(Length + Breadth) =20 m

⇒(Length + Breadth) =

2

20

=10 m

Since, length and breadth are positive integers in metres, therefore, the possible dimensions are: (1,9), (2,8), (3,7), (4,6)

Also, (5,5) can be considered as a rectangle (as every square is a special type of rectangle )

Thus, five rectangles can be formed with the given wire.

This is the concept.

Put the values and get your answer.

:)