Question

What is the perimeter of the rectangle? Write your answer in scientific notation.Area = 2.76 times 10^12Width of area = 4.6 times 10^5

Answer 1

We are given the area, so we can find the length

A = L*W

2.76 * 10 ^12 = L * 4.6 * 10 ^5

Divide each side by 4.6 * 10 ^5

2.76 * 10 ^ 12 / 4.6 * 10 ^5 = L

6 * 10 ^ 6 = L

Now the perimeter is found by

P = 2 ( L+W)

P = 2 ( 6*10 ^6 + 4.6* 10 ^5)

We need the exponents the same to add)

P =2 ( 60*10^5 + 4.6 * 10^5)

P =2 ( 64.6 *10^5)

= 129.2 * 10 ^5

Moving the decimal 2 places

1.29 * 10^7 cm