Question

The width of a rectangle varies
inversly with its length. If the width
is 6cm when the length is 24 cm, then
frame an equation that shows the relationship​

Answer 1

Answer:

Length = 16 feet.

Step-by-step explanation:

This is an example of inverse proportion.

The product of two quantities remains the same, in this case the area.

Thinking through the question logically we can see that if one quantity is halved the other must be doubled to keep the product the same.

area=l×b⇒A=18×8

However now we have A=??×9

Let's look at the factors: A=(9×2)×8

This is the same as A=9×(2×8)

So the new dimensions would be 9 feet by 16 feet.

Otherwise we could actually work out the area and work with that, but it's not as much fun that way. 

Area=18×8=144 sq feet

Length = 1449=16feet