Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The length of a rectangular picture frame is 2 inches longer than twice the width. If the perimeter of the frame is 34 inches, find the dimensions of the frame.

Sagot :

MichaelLiu
The length, l, is 2 more than twice the width, w.
l= 2w+2 (2 more than twice w)
In a rectangle, we have two of the same lengths and two of the same widths.
2l+2w=34
Divide by 2 on each side.
l+w=17
We remember that l is 2w+2
Substituting that back in we get,
2w+2+w=17
3w+2=17
3w=15
w=5
We sub w back into l+w=17
l+5=17
l=12
The dimensions are 5 by 12 inches.
rabinshrestha41
Let,
the length of the rectangular picture frame be "x"
the width of the rectangular picture frame be "y"
Then, according to the question, 
x = 2 + 2y ........................................................equation (1)

Perimeter = 34 inches

Now,
We have,
perimeter of the rectangular = 2 ( length + width)
                                    34 = 2 ( x + y)
                                    34 = 2 ( 2 + 2y + y)
                                    34 = 2 (2 + 3y)
                                    34 = 4 + 6y
                               34 - 4 = 6y
                                    30 = 6y
                               30 / 6 = y
                                      5 = y
Now,
taking equation (1)
x = 2 + 2y
substituting the value of "y" , we get,
x = 2 + 2(5)
x = 2 + 10
x = 12

So, the dimensions of the rectangular frame are 12 inches and 5 inches


 


Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. 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.