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The length of Rectangle 1 is 3.2 x 10^5 m. The width of Rectangle 1 is 1.6 x 10^4 m. What is the area of Rectangle 1? Write the answer in Scientific Notation.


Find the area of Rectangle 2 if its length is 1.28 x 10^7 m and its width is 8 x 10^3 m. Write the answer in Scientific Notation.


How many times larger is the area of Rectangle 2 than the area of Rectangle 1? Write the answer in Scientific Notation.


How many times larger is the area of Rectangle 2 than the area of Rectangle 1? Write the answer in Standard Form: __________ times larger

Respuesta :

Answer:

2.0 x [tex]10^{1}[/tex]

Step-by-step explanation:

1. length = 3.2 x [tex]10^{5}[/tex] m

width = 1.6 x [tex]10^{4}[/tex] m

Area of a rectangle = length x width

                                = (3.2 x [tex]10^{5}[/tex]) x (1.6 x [tex]10^{4}[/tex])

                                = 5.12 x [tex]10^{9}[/tex] [tex]m^{2}[/tex]

2. length = 1.28 x [tex]10^{7}[/tex] m

   width = 8 x [tex]10^{3}[/tex] m

Area of a rectangle = length x width

                                 = (1.28 x [tex]10^{7}[/tex]) x (8 x [tex]10^{3}[/tex])

                                 = 1.024 x [tex]10^{11}[/tex] [tex]m^{2}[/tex]

[tex]\frac{Area of rectangle 2}{Area of rectangle 1}[/tex] = [tex]\frac{1.024*10^{11} }{5.12*10^{9} }[/tex]

                       = 20

                       = 2.0 x [tex]10^{1}[/tex]

Thus,

The area of rectangle 2 is 2.0 x [tex]10^{1}[/tex] times greater than the area of rectangle 1.