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?

Answer 1

System of equations are l = w + 3 and 2(l + w) = 26

Explanation:

Tamara is creating a model of a rectangle.

She has yellow ribbon of length = 26 inches.

If the length of the rectangle is l and width of the rectangle is w then as per statement of the question

l = (w + 3) ------(1)

Now we form an equation of perimeter with given dimensions

Perimeter P = 2(length + width) ⇒ 2(l + w) = 26 ------(2)

Therefore system of two equations which can be solved to get the dimensions of the rectangle.

l = (w + 3) & 2(l + w) = 26

Answer 2

The perimeter of the rectangle that Tamara will create is 26 inches. Given that the length is greater than width, the width may be expressed as l - 3. The perimeter of the rectangle is solved by,
P = 2l + 2w
Thus, the equation is,
2l + 2(l - 2) = 26