Question

a rectangle has an area of 18cm2
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

3&6 9&2 1&18 sides combination are possible

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