Question 998321
Just write an equation for each statement
Substitute
Follow the rules of algebra to solve the equation
:
Length of a rectangle is twice its width.
L = 2W
 If area is 120 sq meters, find length and width.
L * W = 120
replace L with 2W from the 1st statement
2W * W = 120
2W^2 = 120
Simplify, divide both sides by 2
W^2 = 60
Find the square root of both sides
W = {{{sqrt(60)}}}
W = 7.746 m is the width
Then using the 1st equation, find L
L = 2(7.746)
L = 15.492 m is the length
:
Check the solutions by finding the area using these values
15.492 * 7.746 = 120.00
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