The width of a rectangle is one-fifth as much as the length and the perimeter is 120 cm, how do you find the length and width?

Answer 1

#L=50#
#W=10#

These kinds of inquiries are frequently referred to as worded problems.

This is so because the question has already provided you with a description of the key equations that you will use.

This is how it works:

Let the length be #L# and the width be #W# and the perimeter is #P#
The question says: "the width#(W)# is one-fifth#(1/5)# as much as the length#(L)#"

This indicates, in terms of mathematics,

#W=1/5L#
#=>L=5W .........color(red)((1))#
Secondly: "the perimeter#(P)# is #120#"
Meaning, #P=120#
The Perimeter of any rectangle #= 2xx(L+W)#
Hence, # 2(L+W)=120#
#=>L+W=60 .........color(red)((2))#
Now, all that is left to do is to solve #color(red)((1))# and #color(red)((2))# simultaneously.
#5W + W=60 =>W=10#
#=>L=5*(10)= 50#

You're done now.

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Answer 2

Let ( x ) represent the length of the rectangle. Since the width is one-fifth of the length, it is ( \frac{x}{5} ).

The formula for the perimeter of a rectangle is ( 2(length + width) ), so we have ( 2(x + \frac{x}{5}) = 120 ).

Solving this equation gives us ( x = 50 ).

Therefore, the length of the rectangle is 50 cm and the width is ( \frac{50}{5} = 10 ) cm.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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