Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The length of the garden is 4.3 m while the width is 4.3 m
Let x represent the length of the garden. Therefore:
The area of the garden = x × x = x²
The width of the walkaway is 1.8 m, hence the length of the garden and walkaway = x + 1.8. The width of the garden and walkaway = x + 1.8.
Hence the area of the garden and walkaway = (x + 1.8) × (x + 1.8) = x² + 3.6x + 3.24
The area of walkaway = (x² + 3.6x + 3.24) - x² = 3.6x + 3.24
Since the area of the walkway is equal to the area of the garden, hence:
3.6x + 3.24 = x²
x² -3.6x - 3.24 = 0
x= 4.34 m or -0.74 m
Since the length cannot be negative, hence x = 4.3 m
Therefore the garden is 4.3 m by 4.3 m
Find out more at: https://brainly.com/question/2077866
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.