Could anyone explain this math problem for me please?

Question

The length of a rectangle is 3 feet more than than twice the width. The perimeter is 36 feet. Find the length and the width.

Answer 1

The trick is turning the word problem into equations.
(Key: length = l; width = w)

They tell you the length is 3 feet more than twice the width, so:
l = 2w + 3

Then they tell you the perimeter (which is twice the width and twice the length) is 36, so:
2l + 2w = 36

You should be able to take it from there.

Answer 2

A rectangle is defined as having 2 sides of equal length and 2 sides of equal width.

If you set the width to x, you can then assign the length to 2x+3(or twice the width plus 3 ft.). The perimeter is the two widths plus the two lengths. Thus x+x+2x+3+2x+3 = 36. Simplified, 6x + 6 = 36. Then subtracting 6 from both sides of the equation leaves us with 6x = 30. Dividing both sides by 6 leaves us with x = 5.
Thus the width is 5 and the length is 13, which is twice the width plus 3.

Answer 3

Length=L
Width=W
L= 2W+3

Perimeter= 36’
To find the perimeter you add all sides together

(2W+3)*2 + 2W=36
4W+6+2W=36
6W+6=36 (subtract 6 from both sides)
6W=36-6 (now divide both sides by 6 to leave you with just W on one side)
W=5

Now that you’ve solved the width you can plug the number into the beginning equation to find the length as follows:

2(5) +3 = L
10 + 3 = L
L = 13
W = 5

Answer 4

Sure. Let's call the length 'L' and the width 'W'.

The Length is 3 feet more than twice the width. So:

L = 2W + 3

You already know how to work out the perimiter. Use the two equations to find L and W.

Answer 5

let l = the length of the rectangle, let w = the width of the rectangle

F(l) = 36 = 2x + 3 isolate the variable and solve for x

F(w) = 36 - 2l / 2

Answer 6

I simplified to problem to work it in my head. Since you are working with a rectangle, the total of the width and height must be 18 feet.

1x +(2x +3) = 18
3x = 15
x = 5

The width is five feet, and the height is 13.

Answer 7

L = 3 + 2W (or 2W = L - 3)
P = 2L + 2W = 36

Substitute "2W" to have
equation in terms of L only:

P = 2L + (L - 3) = 36
3L - 3 = 36
divide by 3
L - 1 = 12

L = 13
W = 5

Check your work, if P = 2 (L+W) = 36
Then this is the right answer

Answer 8

l=2b+3

2l+2b=36
4b+6+2b=36
6b=30
=>b=5
=>l=13