Question

A rectangle has an area of 18 cm2

The lengths of the sides are whole numbers.
How long could the sides of the rectangle be?
Give all the examples you can think of

Answer 1

9 possible values of length and breadth.

Explanation:

Given that the area of the rectangle is 18cm² . And the lengths of the sides are whole numbers. We need to tell the possible dimensions of the rectangle .

Let :-

`\rm\implies Length = x`

`\rm\implies Breadth = y`

We know that :-

`\rm\implies Area = length * breadth`

• Put in the assumed variables

`\rm\implies Area = x y \\\\\rm\implies xy = 18cm^2`

Now look out for the possible factors of 18 . That is , ( 1 × 18 ) , ( 2 × 9) , ( 3 × 6 ) , ( 6 × 3 ) , ( 9 × 2 ) , (18 × 1 ) . That is total 9 possible values .