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Length (L) equals 4 x Width (W)
Area (A) is equal to L x W and is equal to 16m2
We have two equations
(1) L = 4W
(2) A = L x W
Since we know A = 16 (m2) we have two unknowns (L and W)
Algebraic substitution of equation (1) into equation (2) gives us
(3) A = 4W x W
replacing 16m2 for A
(4) 16 = 4W x W
Simplification
(5) 16 = 4 W^2
(6) 16/4 = W^2
(7) 4 = W^2
Take the square root
(8) 2 = W
using the solution for W in equation (1)
(9) L = 4 x W
(10) L = 4 x 2
(11) L = 8
Check work using equation (2)
A = L x W
A = 8 x 2
A = 16
Improved answer:
Let the unknown length and width be 4x and x respectively:
4x*x = 16
4x2 = 16. Divide both sides by 4:
x2 = 4. Square root both sides:
x = 2
Therefore: length = 8 meters and width = 2 meters
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