Question

A rectangle has an area of 18cm2
The length and the sides are whole numbers
How long could the sides of the rectangle be

Give all the examples you can think of?

Answer 1

Hey mate!!!!


We know that area =
$l \times b$
Here we should find the factors of 18.
Factors of 18 are
1, 2, 3, 6, 9, 18

Now the sides could be long as 18 itself.

Examples:-
l × b

1) 1 × 18
2) 2 × 9
3) 3 × 6
4) 9× 2
5) 18 × 1
6) 6 × 3

Hope it helps dear friend ☺️✌️

Answer 2

Sides of the rectangle can be 1 , 2 , 3 , 6 , 9 and 18 cm long if area of rectangle is 18 cm² and length of sides are whole number

Given:

A rectangle has  an area of 18 cm²

The length of the sides are whole numbers

To Find:

How long could the sides of the rectangle be

Solution:

Area of a rectangle = length x breadth

Step 1:

Find Product of whole numbers which Equate with 18

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

6 x 3 = 18

9 x 2 = 18

18 x 1 = 18

Step 2:

Hence, Length and Breadth of rectangle can be

(1 , 18) , (2 , 9) , (3 , 6) , (6 , 3) , ( 9 , 2) and ( 18 , 1)

Sides of the rectangle can be 1 , 2 , 3 , 6 , 9 and 18 cm long