Perimeter of a rectangleFinding the perimeter of a rectangle when the length and the width are given and finding the length or the width when the perimeter is given are the goals of this lessonP = l + w + l + w = 2 × l + 2 × w Example #1: Find the perimeter of a rectangle when l = 5 cm and w = 3 cm P = 2 × 5 + 2 × 3 P = 10 + 6 P = 16 Notice that it is perfectly ok to do P = 5 + 3 + 5 + 3 = 8 + 8 = 16 However, it is usually easier and quicker to multiply each dimenssion by 2 and adding the result. Example #2: Find the perimeter of a rectangle when l = 9 cm and w = 5 cm P = 2 × 9 + 2 × 5 P = 18 + 10 P = 28 Example #3: Find the perimeter of a rectangle when l = 2/4 cm and w = 3/6 cm P = 2 × 2/4 + 2 × 3/6 P = 2/1 × 2/4 + 2/1 × 3/6 P = (2 × 2)/(1 × 4) + (2 × 3)/(1 × 6) P = 4/4 + 6/6 P = 1 + 1 = 2 cm Example #4: A rectangle has a perimeter of 14 inches. Find the length of the rectangle if the width is 4 inches Here, given the perimeter and the width, you are asked to find the length of the rectangle. We know that P = 2 × l + 2 × w You should replace P by 14 and w by 4 because that is what they gave you. So, 14 = 2 × l + 2 × 4 14 = 2 × l + 8 The problem becomes a two step equations that you need to solve However, you can solve this equation with mental math. Just say to yourself, " 8 plus what equal 14? " Since 8 + 6 = 14, 2 × l must equal 6 Ask yourself now, " 2 times what equal 6? " Since 2 times 3 is 6, l = 3 Example #5: A rectangle has a perimeter of 18 inches. Find the width of the rectangle if l is 5 inches Here, given the perimeter and the length, you are asked to find the width of the rectangle. We know that P = 2 × l + 2 × w You should replace P by 18 and l by 5 because that is what they gave you. So, 18 = 2 × 5 + 2 × w 18 = 10 + 2 × w Again, the problem is a two step equations that you need to solve However, you can solve this equation with mental math. Just ask yourself, " 10 plus what equal 18? " Since 10 + 8 = 18, 2 × w must equal 8 Ask yourself now, " 2 times what equal 8? " Since 2 times 4 is 8, w = 4 




HomepagePerimeter
Perimeter of a square
Perimeter of a triangle
Perimeter of a rectangle
Perimeter formulas
Are you a fan of this site? Support us Our awards! Our partners About me Disclaimer Build your website! Advertise on my site Try our free toolbar Like us on Facebook Take our survey 

