Respuesta :
Answer:
The dimension of the rectangle is [tex]37.5\times 12.5[/tex] inches.
Step-by-step explanation:
Given : The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches.
To find : What are the dimensions of the rectangle?
Solution :
Let the width of the rectangle is 'w'.
The length of a rectangle is three times its width i.e. l=3w
The perimeter of the rectangle is 100 inches.
The perimeter formula of the rectangle is [tex]P=2(l+b)[/tex]
[tex]100=2(3w+w)[/tex]
[tex]100=2(4w)[/tex]
[tex]100=8w[/tex]
[tex]w=\frac{100}{8}[/tex]
[tex]w=12.5[/tex]
Substitute in [tex]l=3w[/tex]
[tex]l=3\times 12.5[/tex]
[tex]l=37.5[/tex]
The dimension of the rectangle is [tex]37.5\times 12.5[/tex] inches.
Hello there, hope this helps!
1). List out the givens and memorized formulas.
P= 2L+2W
A= LW
L= 3W
P = 100
2). Solve for width. If you're not sure whether to solve for width or length first, just play around with the numbers and you'll get to the right one.
In this problem, since L=3W is given, solve for w using the perimeter formula.
P = 2L+2W
100 = 2L + 2W
100 = 2 (3W) + 2W
100 = 6W + 2W
100 = 8W
W= 12.5 in
3). Now plug w= 12.5 into L = 3W.
L= 3W
L = 3 (12.5)
L = 37.5 in
4). Double check your numbers by plugging L and W into the perimeter formula.
Your answer is:
12.5 in by 37.5 in
Disclaimer:
I am human, and mistakes can be made. Always double check with a reliable source, and resist the temptation to copy down my work without a full understanding of the steps provided. If additional clarity or assistance is needed, feel free to contact me, as I usually reply within 24 hours.
