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.
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
Sail B
Sail C
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 2π
and 6π
feet. Porthole C, the largest of the portholes, has a circumference less than three times the circumference of Porthole A.
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
Porthole B
Porthole C
Base length | Height | Area
Sail A | 6 m | 5 m | 15 m²
Sail B | 10 m | 8 m | 40 m²
Sail C | 12 m | 10 m | 100 m²
Radius | Circumference | Area
Porthole A | 2π ft | π ft²
Porthole B | 4π ft | 4π ft²
Porthole C | 6π ft | 9π ft²