Question

If the length and the breadth of 3 rectangles are:

	Length	Breadth
1	8 cm	3 cm
2	6 cm	4 cm
3	48 cm	0.5 cm

Then how are the dimensions of these rectangles related?

• A. Directly Proportion
• B. Inverse Proportion
• C. Compound Proportion
• D. Not in proportion

Answer 1

The correct option is B Inverse Proportion

Let,
length of the rectangles be $x$
and, breadth be $y$

For rectangle 1,
length = 8 cm
breadth = 3 cm
$\therefore \text{area}=8\times 3=24c{m}^2$

For rectangle 2,
length = 6 cm
breadth = 4 cm
$\therefore \text{area}=6\times 4=24c{m}^2$

For rectangle 3,
length = 48 cm
breadth = 0.5 cm
$\therefore \text{area}=48\times 0.5=24c{m}^2$

The product of the length and the breadth, i.e., the area is same for each rectangle.

We know that, for two quantities to be in inverse relation,
constant of proportionality = $x\times y$

So, the dimensions are inversely related.