The length of a rectangle is 4 times the width, and the area is 256 square feet. Find the length and the width of the rectangle
2006-11-25 11:36:51 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The short side is 8
The long side is 32
To find this you use the formula for the area of a rectangle:
A=L x W
A=256
W=x
L=4x (because it is four times the width)
256= x (4x)
256= 4x^2
64= x^2 take the square root
x= 8
4(8)= 32
2006-11-25 11:44:20 · answer #1 · answered by DressageGal 2 · 0⤊ 0⤋
Suppose the width = X ---> then Length = 4X
Area = Length * Width
256 = 4X * X ---> 256 = 4X^2 ---> 64 = X^2 ---> 8 = X
Width = X = 8
Length = 4X = 4*8 = 32
2006-11-25 11:41:54 · answer #2 · answered by M Q 1 · 0⤊ 0⤋
l = 4x
w = x
area = 256
area = l x w
256 = 4x * x
256 = 4x(2)
256/4 = 4x(2)/4
64 = x(2)
x = 8
2006-11-25 11:45:21 · answer #3 · answered by GN 3 · 0⤊ 0⤋
i dont no but i need 2 to tell em if u get a good answer
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2006-11-25 11:39:04 · answer #4 · answered by Sexcaii 1 · 0⤊ 0⤋