Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer: 16 m by 12 m.
Step-by-step explanation:
Given: The length of garden l = 13 m
The width of the garden w= 9 m
The area of the rectangular garden is given by :-
[tex]\text{Area}=l\times w\\\Rightarrow\text{Area}=13\times9\\\Rightarrow\text{Area}=117\ m^2[/tex]
It she wants to increase the garden, the dimensions of the new garden will be (13+x) m by (9+x) m , then according to the question we have :-
[tex](13+x)\cdot(9+x)=192\\\Rightarrow\ 117+x^2+22x=192\\\Rightarrow\ x^2+22x=75\\\Rightarrow\ x^2+22x-75=0\\\Rightarrow\ x^2+25x-3x-75=0\\\Rightarrow\ x(x+25)-3(x+25)=0\\\Rightarrow\ (x+25)(x-3)=0\\\Rightarrow\ x=-25\ x=3[/tex]
Since, [tex]x\neq-25[/tex]
Hence, x=3
Therefore, the dimensions of the new garden will be (13+3) m by (9+3) m=16 m by 12 m.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.