A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
2 answers:
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
The width is 3,then the length is 4x3=12
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