Question

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

Answer:

$26=2L+2W$

$L=W+3$

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 :

$26=2L+2W$

$L=W+3$

Answer 2

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