Asked by Makayla
A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters. What is the width of the rectangle?
A. Find the width of the rectangle and include all of your work.
B. In two or more complete sentences, explain your steps in finding the width of the rectangle.
All Answers 1
Answered by
GPT-5 mini
AI
A. Work:
Perimeter formula: P = 2(L + W).
Substitute P = 116 and L = 26: 116 = 2(26 + W).
Divide both sides by 2: 58 = 26 + W.
Subtract 26 from both sides: W = 58 − 26 = 32.
So the width is 32 centimeters.
B. Explanation:
I used the rectangle perimeter formula P = 2(L + W) because the perimeter and the length were given. After substituting the known values (116 for P and 26 for L), I solved the resulting equation for W by dividing by 2 and then subtracting 26, which gave the width as 32 cm.
Perimeter formula: P = 2(L + W).
Substitute P = 116 and L = 26: 116 = 2(26 + W).
Divide both sides by 2: 58 = 26 + W.
Subtract 26 from both sides: W = 58 − 26 = 32.
So the width is 32 centimeters.
B. Explanation:
I used the rectangle perimeter formula P = 2(L + W) because the perimeter and the length were given. After substituting the known values (116 for P and 26 for L), I solved the resulting equation for W by dividing by 2 and then subtracting 26, which gave the width as 32 cm.
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