Question

Find the perimeter. Area=5.612x10^14 9.2x10^7

Answer 1

Answer:

  1.962×10^8 cm

Step-by-step explanation:

The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.

  A = LW

  P = 2(L +W)

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Solving the area formula for width, we have ...

  W = A/L

Using that in the perimeter formula, we find the perimeter to be ...

  P = 2(L +W) = 2(L +A/L)

Using the given values for area and length, we find the perimeter is ...

  P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm

The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.

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Additional comment

The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.

Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)