Question

For a given area, prove that the length of a
rectangle is inversely proportional to its width.​

Answer 1

sorry I don't know sorry ok thanks

Answer 2

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.

a

r

e

a

=

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.

A

r

e

a

=

18

×

8

=

144

s

q

f

e

e

t

Length =

144

9

=

16

f

e

e

t