Area and Perimeter EQ: How can you apply what you know about finding the perimeter and area of rectangles to solve real world and mathematical problems? September 24, 2012
What is AREA and PERIMETER? area – the measurement of the inside of a figure Area = Length x Width Or A = L x W Example: A rectangular soccer field is measured 10ft by 3ft. Can you find the area? perimeter – the measurement of the outside of a figure Perimeter = (2 x L) + (2 x W) Or P = add all sides Example: A rectangular soccer field is measured 10ft by 3ft. Can you find the perimeter? 3ft 10ft 3ft A = 30 ft 2 P = 26ft
Let’s try another one together! Anthony wants new carpeting for his bedroom. His bedroom is a 5 yd by 11 yd rectangle. How much carpeting does he need to buy to cover his entire bedroom? What is the perimeter of his bedroom? 5 yd 11 yd A = L x W A = 11yd x 5yd A = 55yd 2 P = (2 x L) + (2 x W) P = (2 x 11yd) + (2 x 5yd) P = P = 32`yd
In your groups solve… Montia is making a display board for the school elections. The display board is a 7 ft by 9 ft rectangle. She needs to add a ribbon border around the entire display board. What is the length of ribbon that she needs? What is the area of her board? draw a picture or use cubes use your formulas P = (2 x L) + (2 x W) P = (2 x 9ft) + (2 x 7ft) P = 18ft + 14ft P = 32ft 9 ft 7 ft A = L x W A = 9ft x 7ft A = 63ft 2 Kiss your brain!
This is a little harder. Brisa is making a display board for the school talent show. The display board is a 10 ft by 9 ft rectangle. The ribbon costs $2 per foot. How much will it cost to add a ribbon border around the entire display board? FIRST P = (2 x L) + (2 x W) P = (2 x 10ft) + (2 x 9ft) P = 20ft + 18ft P = 38 ft THEN Multiply the cost by the perimeter to find the total cost. Total Cost = $2 x 38ft Total Cost = $76
Challenge Miguel has a rectangular rose garden that measures 8 m by 10 m. One bag of fertilizer can cover 20 m 2. How many bags of fertilizer will he need to cover the entire garden? A = L x W A = 8m x 10m A = 80 m 2 Number of bags = 80 m 2 ÷ 20 m 2 Number of bags = 4
Go to Stations ComputersApplicationProblem Solving Ms. Williams Rotation 1 Miguel Justin Evelin Angel Brisa Leanna Montia Jair Leslie Hichief Asli Emanuel Ashley Zy’Reayanna Antony Rotation 2 Emanuel Ashley Zy’Reayanna Antony Miguel Justin Evelin Angel Brisa Leanna Montia Jair Leslie Hichief Asli Rotation 3 Leslie Hichief Asli Emanuel Ashley Zy’Reayanna Antony Miguel Justin Evelin Angel Brisa Leanna Montia Jair Rotation 4 Brisa Leanna Montia Jair Leslie Hichief Asli Emanuel Ashley Zy’Reayanna Antony Miguel Justin Evelin Angel