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Formulas for Perimeter and Area

Learn how to find the perimeter and area of squares and rectangles, including converting measurements from inches to feet, square feet, yards, and square meters. Practice problems included.

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Formulas for Perimeter and Area

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  1. Formulas for Perimeter and Area

  2. PERIMETER OF A SQUARE P= 4s Perimeter equals four times the length of one side

  3. AREA OF A SQUARE A=s 2 Area of a square equals the length of one side squared (times itself)

  4. 3 in. Area of a Square A=s² A= 3 in. * 3 in. A=9 sq. in. 3 in. Perimeter of a Square P=4s P=4(3 in.) P=12 in.

  5. PERIMETER OF A RECTANGLE P=2l+2w Perimeter of a rectangle equals 2 times the length plus 2 times the width

  6. AREA OF A RECTANGLE A=lw Area of a rectangle equals length times width

  7. Perimeter of a Rectangle P=2l+2w P=2(3 in.) + 2 (2in.) P=6 in. + 4 in. P=10 in. 3 in. 2 in. Area of a Rectangle A=lw A=3 in.(2 in.) A=6sq. in.

  8. Find the perimeter and area of each figure. Find the perimeter and area of each figure. Show all work! 4 cm 2.5 cm square 8 in. 11 in. 5 in. 7 in. 4 in. 4 in.

  9. Now let’s try it when the measurement needs to change. 12 in. 12 in. We need the area in square feet. There are 2 methods 1. Convert first. 2. Convert after you have the area

  10. Convert first. 12 inches = 1 ft Multiply 1 times 1 Area is 1 square foot. 12” 12 in.

  11. Convert 2nd. 12” 12 times 12 = 144 square inches. 12” How many square inches are in a square foot? How man inches across the top? How many across the side? If we draw all of the boxes there will be 144 sq. inches in 1 square ft. We have divide square inches by 144 to get square feet!

  12. 24 in. What is the area in square feet? 18 inches

  13. 6 ft. Find area in square yards. 9 ft

  14. 100 cm. 250 cm. Find area in square meters. Hints: 100 cm = 1 meter 10,000 sq cm = 1 sq meter

  15. Homework: problems below • Find the perimeter and area both in feet and yards for a rectangle with a length of 15 feet and a width of 9 feet. • Find the perimeter & area of a square that has a side of 24 inches. Give your answer in both inches and feet. • Find the perimeter and area of the following figure. 12 in. 9 in. 12 in. Don’t forget to show all work! 6 in.

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