1. 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

2. 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.
≈ feet Use a calculator.
Example 3

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
= a = 6, b = 6
= 72 Simplify. .
≈ 8.49 Use a calculator.
P = a + b + c Perimeter of a triangle
 Substitution
 feet Simplify.
Example 3

4. 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

5. 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

6. Concept

7. 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

8. 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

9. 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