the width of a rectangle varies inversely with its length. if the width is 4 when the lenght is 12, find the width when the lenght is 16.
Answers
Answered by
5
Length = 16 feet.
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=144sqfeet
Length = 1449=16feet
HOPE THIS WILL HELP YOU
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=144sqfeet
Length = 1449=16feet
HOPE THIS WILL HELP YOU
Similar questions