The perimeter of a rectangle is 16cm. If the length is doubled, the perimeter is 26. What are the length and width of the rectangle? Please explain all steps required, thanks ahead of time!

Length is 5, width is 3.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

Where P is the perimeter, l is the length, and w is the width.

With the original length and width, the perimeter is 16, thus:

Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:

Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:

Now, add the equations:

-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:

Divide both sides by 2:

So, the original length was 5.

To find the original width, substitute 5 back into the first equation:

Multiply:

Subtract 10 from both sides:

Divide both sides by 2:

So, the original width was 3.

And we're done!

Checking:

Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.

After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?