Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
EXPLANATION
Let's see the facts:
Sophia's garden shape: rectangular
The perimeter of the garden = 80 ft (conditional)
Length = 10+2Width ---> l = 10+2w (conditional)
As we can see, there are two variables and two equations, so we must solve this system of equations:
(1) p = 2 (w+l) = 80 (Perimeter Formula)
(2) l = 10 + 2w (Conditional)
Now, we can solve (1) equation and replace in (2):
80 = 2w + 2l (Isolating w)
80 - 2l = 2w (Dividing both sides by 2)
40 - l = w
Now, replacing in (2):
l = 10 + 2(40-l) (Applying distributive property)
l = 10 + 80 - 2l (Adding +2l to both sides and simplifying)
3l = 90 (Dividing both sides by 3)
l = 30
Now, we have l=30, so with this variable can calculate w in this way:
w = 40 - l = 40 - 30 = 10
w = 10
Now we have the dimensions: Width=10ft and Length= 30ft
[ANSWER] The dimensions are: Width=10 feet and Length= 30 feet
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
