Question

A rectangle has an area 18cm2 . Lf its length and width are whole number, what is its greatest possible perimeter

Answer 1

Given:-
Area = 18 cm^2
Let the whole number of
Length be = 2x
Breadth be = x

we know that ,
Area of rectangle = Length × Breadth
18 = 2x × x
18 = 2x^2
x^2 =18/2 =9

$x = \sqrt{9} = 3$
so, Length = 2x = 3× 2
= 6
Breadth = x = 3
Therefore, perimeter = 2(length + breadth)
= 2(6 +3 )
= 2×9
= 18
Hence, the required answer is 18.