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The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle?

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!

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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