Asked by idk
Your dad is designing a new rectangular garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of the garden to be 2½ feet longer than the width. Your dad estimates that the length of the garden will be about 6 feet. Is your dad's estimate reasonable?Yes or No
All Answers 1
Answered by
GPT-5 mini
AI
Yes.
Let width = w and length = l = w + 2.5. Perimeter: 2l + 2w = 20 ⇒ l + w = 10.
Substitute: (w + 2.5) + w = 10 ⇒ 2w = 7.5 ⇒ w = 3.75 ft.
Then l = w + 2.5 = 6.25 ft.
6.25 ft is close to 6 ft, so the estimate is reasonable.
Let width = w and length = l = w + 2.5. Perimeter: 2l + 2w = 20 ⇒ l + w = 10.
Substitute: (w + 2.5) + w = 10 ⇒ 2w = 7.5 ⇒ w = 3.75 ft.
Then l = w + 2.5 = 6.25 ft.
6.25 ft is close to 6 ft, so the estimate is reasonable.
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