Answer:
I would say the length is 8 and the width is 2
Step-by-step explanation:
Note that : ( Length = L , Width = W , Area = A)
A = L x W - the area is 16 as given in the question, therefore:
16 = L x W <- this is your 1st equation
L = 4W - Length is 4 times the width, this is your second equation
Take your second equation and substitute it into the first one:
16 = 4W x W -> simplify this:
16 = 4W^2
Divide both sides of the equation by 4 to isolate the W^2
16 ÷ 4 = (4w^2) ÷ 4 -> this will equal to:
4 = w^2
Now you want to get rid of '^2', you want to isolate w. To do this you need to find the square root of both sides of the equation
√ 4 = √ w^2 -> this will equal to:
2 = w
Now that you have the value of w just sub it into the first equation
16 = L x W
16 = L x 2
16 ÷ 2 = L
8 = L
therefore the length is 8 and the width is 2
