Question

8. A wire of length 20 m is to be folded in the form of a rectangle. How many rectangles can be
formed by folding the wire if the sides are positive integers in metres?
​

Answer 1

Answer:

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

Answer 2

Correct Question

A wire of length 20 m is to be folded in the form of a rectangle. How many rectangles can be formed by folding the wire if the sides are positive integers in metres?

Solution

→ Length of wire 20 m is folded in the form of rectangle.

→ So the perimeter = 20 m

→2 (L + B) = 20 m

On further calculation

L + B = 10 m

If the sides are positive integers in metres the possible dimensions are (1m, 9m), (2m, 8m), (3m, 7m), (4m, 6m) and (5m, 5m)

∴Hence, five rectangles can be formed using the given wire.