Area and Perimeter Apply
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An old sailing ship has three triangular sails, Sail A, Sail B, and Sail C. Sail A, the smallest of the sails, measures 6 m along the base and between 5 and 8 m in height. Sail C, the largest of the sails, has an area less than twice the area of Sail A.
1. (5 points) What could be the areas of the three sails? Complete the table by giving a possible base, height, and area for all three sails.
Base length
Height
Area
Sail A
6 m
[between 5 and 8 m]
Sail B
[between Sail A and Sail B]
Sail C
[less than twice the area of Sail A]
The ship also has three circular portholes, Porthole A, Porthole B, and Porthole C. Porthole A, the smallest of the three portholes, has a circumference of between 2p and 6p feet. Porthole C, the largest of the portholes, has a circumference less than three times the circumference of Porthole A.
2. (5 points) What could be the circumferences and areas of the three portholes? Complete the table by giving a possible radius, circumference, and area for all three portholes.
Radius
Circumference
Area
Porthole A
[between 2p and 6p feet]
Porthole B
[between Porthole A and Porthole B]
Porthole C
[less than three times Porthole A]
1 answer
1 answer