Question

Tamara is creating a model of a rectangle. She has 26 inches of yellow ribbon to use for the border of the rectangle. She wants the length, l, to be 3 inches greater than the width, w. Which system of equations could Tamara use to find the dimensions of a rectangle that uses all of the ribbon?






Tamara is creating a model of a rectangle. She has 26 inches of yellow ribbon to use for the border of the rectangle. She wants the length, l, to be 3 inches greater than the width, w. Which system of equations could Tamara use to find the dimensions of a rectangle that uses all of the ribbon?












Answer 1

P = 2(L + W)
L = W + 3
these would be ur equations...and u would sub in 26 for P

Answer 2

`26=2L+2W`

`L=W+3`

Step-by-step explanation:

Let,

L be the length of the rectangle

W be the width of the rectangle

As Tamara will use the ribbon for the border of rectangle, this means we need the perimeter of rectangle.

Perimeter is given as :

`P=2L+2W`

As Tamara is using 26 inches of ribbon so perimeter is 26.

Equation becomes,

`26=2L+2W` ..........(1)

Tamara wants the length to be 3 inches greater than the width, so equation becomes:

`L=W+3` ..........(2)

Substituting equation 2 in equation 1:

`26=2(W+3)+2W`

=>
`26=2W+6+2W`

=>
`4W=26-6`

`W=5` inches.

And,

`L=W+3`

=
`5+3=8` inches

Therefore, we can say that the system of equations used are :

`26=2L+2W`

`L=W+3`