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?

Question

Mathematics

Fritz

23 January, 02:20

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?

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Josie Rivera · Answer 1

Let l and w be the length and width, respectively. Given that length is 3 inches greater than the width, it can be expressed as w + 3. Tamara has 26 inches of ribbon for the border which means that the perimeter of the rectangle should be 26. For rectangles,

P = 2L + 2W

Substituting the known values,

26 = 2 (w + 3) + 2w

Simplifying,

26 = 4w + 6

Thus, w is 5 inches and length is 8 inches.