Answer:
Length: [tex]96\ cm[/tex]
Width: [tex]56\ cm[/tex]
Step-by-step explanation:
The perimeter of a rectangle can be calculated with the following formula:
[tex]P=2l+2w[/tex]
Where "P" is the perimeter of the rectangle, "l" is the length and "w" is the width of the rectangle.
According to the information given in the exercise, length is 40 centimeters longer than the width. Then, you can write the following equation:
[tex]l=w+40[/tex]
Knowing that the perimeter of the rectangle is 304 centimeters, you can substitute the perimeter and the equation [tex]l=w+40[/tex] into the formula shown at the beginning of the explanation:
[tex]304=2(w+40)+2w[/tex]
Now you must solve for "w" :
[tex]304=2w+80+2w\\\\304-80=4w\\\\\frac{224}{4}=w\\\\w=56\ cm[/tex]
Substitute the value of "w" into [tex]l=w+40[/tex] and evaluate in order to find the length. This is:
[tex]l=56+40\\\\l=96\ cm[/tex]
