Question

solve this problem by using a 5d process or writing and solving an equation. No matter which method you use, be sure to define your variable and write an equation to represent the relationship A rectangle has a perimeter of 30 inches. its length is one less than three times its width what are the length and wodyh of the rectangle?

Answer 1

width of the rectangle=x=4in and length of the rectangle=11in

Explanation:

Let the width of the rectangle be x, then according to the question, length is one less than three times its width that is l=3x-1.

Now, width=b=x and length=l=3x-1, thus

Perimeter of the rectangle= 2(l+b)

⇒
`30=2(3x-1+x)`

⇒
`15=(3x-1+x)`

⇒
`15=4x-1`

⇒
`16=4x`

⇒
`x=4in`

Thus, width of the rectangle=x=4in and length of the rectangle=l=3x-1=3(4)-1=12-1=11in.