Use the worksheet to record your answers to the four activities that make up the Pythagorean Theorem Portfolio. When you are finished, save the worksheet with your answers and submit it for a portfolio grade. Finding the Area of a Field Farmers need to know the area of their land in order to plan for growing their crops. Farmers measure the size of their fields in acres. One acre is equal to 4,840 square yards. In the diagram on the worksheet, each of the squares in the grid represents one acre. Count the number of acres inside Fields A and B to find their measure, and then use that information to find the size of Field C. Count the number of squares inside Field A. This is the area of Field A in acres. Write it on your worksheet. Count the number of squares inside Field B. This is the area of Field B in acres. Write it on your worksheet. Use the Pythagorean Theorem to find the area of Field C in acres. Finding the Area of a Garden You can use the Pythagorean Theorem to find the area of a square when you know its end points. A square garden has the end points listed below. Plot and label these points on the grid: A (−7, 6)B (−2, −6)C (10, −1)D (5, 11)A (-7, 6)B -2, -6C (10, -1)D (5, 11) Connect the points to create Square ABCDABCD. Use the Pythagorean Theorem to find the side length, ss, of Square ABCDABCD. Use the area formula, A = s2A = s2, to find the area of Square ABCDABCD. Screen Size Computer screens and television screens are usually measured by the diagonal of the screen. For example, a screen of size 60 inches would have a diagonal of 60 inches, a width of 52 inches, and a height of 30 inches. Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50 inches wide. She would like the screen to be the largest size that will fit on the shelf. She knows the diagonal and width of the four screens listed below. Screen Diagonal Width Height A 15" 13" B 22" 19" C 32" 28" D 40" 35" Use the Pythagorean Theorem to calculate the height of each screen. Which screen is the largest that will fit on Yoselin’s shelf? Building a Ramp Emaniee would like to build a ramp for her dog over some stairs. Compute the distance between points BB and CC and enter it on your worksheet. Compute the distance between points AA and BB and enter it on your worksheet. Compute the distance between points DD and BB and enter it on your worksheet. Use the Pythagorean Theorem to compute the distance between points DD and CC. How long does Emaniee’s ramp need to be?
