A square with side length of 5 feet B circle with the radius of 3 feet

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Presentation transcript:

A square with side length of 5 feet B circle with the radius of 3 feet Largest Area Terri has 19 feet of tape to mark an area in the classroom where the students may read. Which of these shapes has a perimeter or circumference that would use most or all of the tape? A square with side length of 5 feet B circle with the radius of 3 feet C right triangle with each leg length of 6 feet D rectangle with a length of 8 feet and a width of 3 feet Read the Test Item You are asked to compare the perimeters or circumference of four different shapes. Example 3

Find each perimeter or circumference. Largest Area Solve the Test Item Find each perimeter or circumference. Square P = 4s Perimeter of a square = 4(5) s = 5 = 20 feet Simplify. Circle C = 2r Circumference = 2(3) r = 3 = 6 Simplify. ≈ 18.85 feet Use a calculator. Example 3

Use the Pythagorean Theorem to find the length of the hypotenuse. Largest Area Right Triangle Use the Pythagorean Theorem to find the length of the hypotenuse. c2 = a2 + b2 Pythagorean Theorem = 62 + 62 a = 6, b = 6 = 72 Simplify. . ≈ 8.49 Use a calculator. P = a + b + c Perimeter of a triangle  6 + 6 + 8.49 Substitution  20.49 feet Simplify. Example 3

P = 2ℓ + 2w Perimeter of a rectangle = 2(8) + 2(3) ℓ = 8, w = 3 Largest Area Rectangle P = 2ℓ + 2w Perimeter of a rectangle = 2(8) + 2(3) ℓ = 8, w = 3 = 22 feet Simplify. The only shape for which Terri has enough tape is the circle. Answer: The correct answer is B. Example 3

Mathematical Practices 2 Reason abstractly and quantitatively. Content Standards G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. Mathematical Practices 2 Reason abstractly and quantitatively. 6 Attend to precision. CCSS

Concept

a rectangle with a length of 26 inches B. a square Each of the following shapes has a perimeter of about 88 inches. Which one has the greatest area? a rectangle with a length of 26 inches B. a square a right triangle with each leg length of 26 inches D. a circle with radius of 14 inches Example 3

Perimeter and Area on the Coordinate Plane Find the perimeter and area of a pentagon ABCDE with A(0, 4), B(4, 0), C(3, –4), D(–3, –4), and E(–3, 1). Example 4

Find the perimeter of quadrilateral WXYZ with W(2, 4), X(–3, 3), Y(–1, 0), and Z(3, –1). B. 22 C. 13.3 D. 9.1 Example 4