Question

A rectangle of area 40 square centimetres is to be drawn and it's length and width in centimetres should be natural numbers find all possibilites

Answer 1

area of rectangle = 40 cm²
there are many possibilities of length and breadth
area = l*b
40= 10*4
40= 8*5
40 = 20*10
40 =16*2.5 etc.....

Answer 2

Length=20 cm and width=2 cm

or Length=10 cm and width=4 cm

or Length=8 cm and width=5 cm

Explanation:

Area of rectangle=$40 cm^2$

Let length of rectangle=x

Width of rectangle=y

We know that

Area of rectangle=$length\times breadth$

Factors of 40 are

$20\times 2, 10\times 4,8\times 5,$

Because length and width of rectangle is a natural number.

Area of rectangle=$20\times 2=40cm^2$

Area of rectangle=$10\times 4=40cm^2$

Area of rectangle=$8\times 5=40cm^2$

Hence, the possible values of length and width of rectangle are

Length=20 cm and width=2 cm

Length=10 cm and width=4 cm

Length=8 cm and width=5 cm

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