Question

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?

Answer 1

Answer:

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

$A=\pi r^{2}$

we have

$r=10/2=5\ in$ ---> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(5)^{2}=78.5\ in^2$

step 2

Find the area of the  bottom of the rectangular pan

The area of a rectangle is equal to

$A=LW$

we have

$L=10\ in\\W=7\ in$

substitute

$A=(10)(7)=70\ in^2$

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

$78.5\ in^2-70\ in^2=8.5\ in^2$

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