Given:
The perimeter of a rectangle is 84cm.
The length is 12 cm longer than the width.
Required:
We need to find the length and width of the rectangle.
Step-by-step explanation:
Let l be the length of the rectangle and w be the width of the rectangle.
The length is 12 cm longer than the width.
Add 12 to the width to get the length.
Consider the perimeter of the rectangle formula.
Substitute l=12+w and P =84 in the formula.
Subtract 24 from both sides of the equation.
Divide both sides of the equation by 4.
Substitute w =15 in the equation l=12+w.
Final answer:
The length of the rectangle is 27 cm.
The width of the rectangle is 15 cm.