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?
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
Answer:
System of equations are l = w + 3 and 2(l + w) = 26
Step-by-step 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