Answer:
width is 14, length is 19
Explanation:
let w represent the width of the rectangle.
"The length of a rectangle is 5 cm longer than its width."
You can take from this that you must add 5 to the width to get the length.
so, you can now write that L=w+5 .
The formula for perimeter is 2w+2L.
You can plug the values in.
2w+2(w+5) is the expression you get.
use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.
"..The perimeter of the rectangle is 66 cm."
Set the simplified expression 4w+10 to 66 to get
4w+10=66
Subtract 10 from both sides and get
4w=56
divide by four for both sides and get w=14 .
We are not done yet!
To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.