A rectangle table is two times as long as it is wide. If the area is 50ft^2. Find the length and width of the table.
2 answers:
Width = 5 ft Length = 2 * 10 ft
Answer:
Width = 5
Length = 2*5 = 10
Step-by-step explanation:
Givens
Let the width = W = x
Let the length = L = 2x
Equation
Area = L * W
Solution
Area = 2W * W Substitute into the given equation
Area = 2W^2 Simplify the right
50 = 2W^2 Divide by 2
50/2 = 2W^2 / 2 Simplify
25 = W^2 Switch
W^2 = 25 Take the square root of both sides
sqrt(w^2) = sqrt(25)
Answers
w = 5 ft
L = 2 * 5 = 10 ft
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