Respuesta :
Let l represent the length of a rectangle
w represent the width of a rectangle
P represent the perimeter of the rectangle
l=3w-2
P=28 inches, so
28=(l+w)*2
Divided 2 to each side
28/2=(l+w)*2/2
14=l+w
Next, substitute l with 3w-2
14=3w-2+w
14=4w-2
Add 2 to each side
14+2=4w-2+2
16=4w
Divided 4 to each side
16/4=4w/4
w=4 inches
l+w=14
Substitute w with 4
l+4=14
Subtract 4 to each side
l+4-4=14-4
l=10 inches. As a result, the width of the rectangle is 4 inches and the length of the rectangle is 10 inches. Hope it help!
w represent the width of a rectangle
P represent the perimeter of the rectangle
l=3w-2
P=28 inches, so
28=(l+w)*2
Divided 2 to each side
28/2=(l+w)*2/2
14=l+w
Next, substitute l with 3w-2
14=3w-2+w
14=4w-2
Add 2 to each side
14+2=4w-2+2
16=4w
Divided 4 to each side
16/4=4w/4
w=4 inches
l+w=14
Substitute w with 4
l+4=14
Subtract 4 to each side
l+4-4=14-4
l=10 inches. As a result, the width of the rectangle is 4 inches and the length of the rectangle is 10 inches. Hope it help!
The width and length of the rectangle 4 inch and 10 inch, respectively.
What is Perimeter of rectangle?
Perimeter of rectangle is 2 times the sum of its length and its width
i.e., Perimeter of rectangle = 2* [l + b]
Let the width of rectangle be 'x'.
Length= 3x-2
Given, perimeter of triangle = 28 inches.
Perimeter of rectangle = 2 * (l+b)
28 = 2 *[3x-2 + x]
28= 8x - 4
32=x
x=4
Hence, width = x = 4 inch and length = 3x-2
= 3 (4) - 2
= 10 inch
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