Working with Polygons
The regular octagon has a perimeter of 48 in. What is the length of each side?
6in
A square has a perimeter of 36 m. What is the length of each side?
9 m
A rectangle has a perimeter of 18 cm. If one side is 3 cm, what is the other side?
6 cm
A square has a perimeter of 36 m. What is its area?
81 m
What is the perimeter of the figure with sides 4 cm, 4 cm, 3 cm, 3 cm, and 3 cm?
17 cm
Which shape has the greatest perimeter: a rectangle 11 m by 2 m, a rectangle 6 m by 5 m, or a rectangle 10 m by 8 m?
(DOUBLE POINTS)
10 m × 8 m rectangle
A rectangle has a perimeter of 14 cm. Each side is a whole number. What are the possible areas?
6, 10, 12 square cm
A rectangle is 4 in long and 2 in wide. If both are doubled, is the perimeter doubled?
No — it goes from 12 in to 24 in
A rectangle has a perimeter of 14 cm. If one side is 4 cm, what is the other side?
3 cm
A hexagon has sides of 5 ft each. What is its perimeter?
30ft
One side of a regular pentagon is 20 cm. What is its perimeter?
100cm
A square has a perimeter of 36 m. What is its area?
81 square m
A rectangle has an area of 36 ft. The length and width are whole numbers. What is the difference between the greatest and least perimeters?
(DOUBLE POINTS)
50 ft
A square garden has perimeter 28 m. What is its area?
49 m
A polygon has sides 2, 2, 2, 2, 5, 5, 7, and 3. What is the perimeter?
28 units
A parallelogram has a perimeter of 30 cm. Can you find each side length?
No, not enough information
A square painting has a perimeter of 12 in. What is its area?
9 square in
Jason makes a platform using 18 square tiles, which gives him an area of 18. If he arranges them for the least perimeter, what are its dimensions and perimeter?
(Double Points)
3 × 6; perimeter = 18 ft
A rectangle has an area of 36 ft. What arrangement of sides gives the least perimeter?
6 × 6 (perimeter 24 ft)
The floor of a rectangular room is 30 ft long and 20 ft wide. What is its perimeter?
100 ft
Jen and David both find the perimeter of a regular pentagon with side length 20 cm. Jen adds, David multiplies. How do their methods work?
Jen: 20+20+20+20+20 = 100; David: 20×5 = 100
A square garden has a perimeter of 28 m. What is its area?
49 square m
Jen, Sue, and Wendy each draw a rectangle with perimeter 24 cm. Jen’s length = 11 cm, Sue’s length = 8 cm, Wendy’s rectangle is a square. Whose rectangle has the greatest area? Whose has the least?
Wendy has the greatest; Jen has the least
Three friends each draw rectangles with perimeter 24 cm. Which rectangle shape gives the largest area?
The square
A quadrilateral has sides 5 ft, 6 ft, and 3 ft. Its perimeter is 21 ft. What is the missing side length?
7 ft