The area of a parallelogram is 120. If the base is reduced to one-fourth its original length, and its height is doubled, what is the new area?
(1 point)
Responses
30
30
60
60
240
240
120
30
What is the area of a regular decagon with an apothem 12.3 yards long and a side 8 yards long? Round the answer to the nearest tenth.
(1 point)
Responses
984.0 yd2
984.0 yd 2
492.0 yd2
492.0 yd 2
328.0 yd2
328.0 yd 2
49.2 yd2
328.0 yd2
Find the area. The figures are not drawn to scale.
An obtuse triangle is shown.• The shortest side of the obtuse triangle, which runs horizontally at the bottom of the figure is labeled 6.9 centimeters.
• A second side extends up and to the right from the right end of the shortest side.
• A third side extends up and to the right from the left end of the shortest side, meeting the second side at vertex at the top of the figure.
• A vertical dashed line segment extends from the upper vertex to a dashed line segment that extends to the right from the shortest side at the bottom of the figure.
• A small square is located at the intersection of the two dashed line segments.
• The vertical dashed line segment is labeled 4 centimeters.
(1 point)
Responses
13.8 cm2
13.8 cm 2
10.9 cm2
10.9 cm 2
27.6 cm2
27.6 cm 2
55.2 cm2
10.9 cm2
What is the area of the shaded region in the given circle in terms of symbol piand in simplest form?
A picture of a shaded circle that contains within it a triangle with one 60 degree angle and a side with a length of 12 m.
(1 point)
Responses
(120symbol pi + 6Start Root 3 End Root) m2
(120 Image with alt text: symbol pi + 6 Image with alt text: Start Root 3 End Root ) m 2
(96symbol pi + 36Start Root 3 End Root) m2
(96 Image with alt text: symbol pi + 36 Image with alt text: Start Root 3 End Root ) m 2
(120symbol pi + 36Start Root 3 End Root) m2
(120 Image with alt text: symbol pi + 36 Image with alt text: Start Root 3 End Root ) m 2
(96symbol pi + 6Start Root 3 End Root) m2
(96π + 36√3) m2
What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.
(1 point)
Responses
66.1 m2
66.1 m 2
5.3 m2
5.3 m 2
16.5 m2
16.5 m 2
21.0 m2