Introduction to Systems of Linear Equations — Quiz
Question 4 • Algebra 2 with Probability
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
A
2 l plus 2 w is equal to 26; l is equal to 3 w
B
2 l plus 2 w is equal to 26; l plus 3 is equal to w
C
2 l plus 2 w is equal to 26; 3 l is equal to w
D
2 l plus 2 w is equal to 26; l is equal to w plus 3
Explanation
The ribbon covers the rectangle’s perimeter, which is 2l + 2w, so using all 26 inches gives 2l + 2w = 26. The length is 3 inches greater than the width, so l = w + 3. Together, these equations are choice D.
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