annakoslovsky3040
28.02.2020 •
Mathematics
Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan are shown below. Which statement correctly describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan?
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Ответ:
A) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches
Step-by-step explanation:
The complete question is the attached figure
step 1
Find the area of the bottom of the round pan
The area of a circle is equal to
we have
---> the radius is half the diameter
assume
substitute
step 2
Find the area of the bottom of the rectangular pan
The area of a rectangle is equal to
we have
substitute
Verify each statement
A) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.
The statement is true
Because
B) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244.2 square inches
The statement is false
Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches
C) The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches
The statement is false
Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches
D) The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.6 square inches
The statement is false
Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches
Ответ: