Perimeter of yard is 140 ft. Length is 36 ft more than width. what is lenght and width?

Answer 1

draw a rectangle on a piece of paper. label the lengths (longer sides) x and the widths y. what's the relation between x and y?

"length is 36 ft more than width". in mathematical terms this means that x = 36 + y. so, cross out the x's and replace them with "36+y". now add up what you have written on each side. it should be (y)+(36+y)+(y)+(36+y).

the problem tells you that the entire thing is equal to 140. the final formula is:

4y = 68

Answer 2

Formula to find the perimeter is P = 2L + 2W. The Length is 36 feet more than the width > rewrite in numerical data:

L = 36 + W and W = ____

First: take the formula for the Length (36+w), Width (W) and place them in the Perimter formula:

140 = 2(36 + W) + 2W

Second: use distribution:

140 = 2(36) + 2W + 2W
140 = 72 + 2W + 2W

Third: combine "like" terms, subtract 72 from both sides, and divide both sides by 4:

140 = 72 + 4W
140 - 72 = 72 -72 + 4W
68 = 4W
68/4 = 4W/4
17 ft = W

Take 17 and replace it with "W" in the Length equation:

L = 36 + 17
L = 53 ft

Answer 3

Here is a shortcut solution.
Study the steps.
Given:
P = 140 ft.
Let:
L = length
W = Width
Given:
L = W + 36 (Equation 1)
Solution:
P = 2L + 2W, by definition
P = 2(L + W), factoring
P = 2(W + 36 + W), substitute the value of L from (Equation 1)
P = 2(2W + 36), algebraically add similar terms
P = 4W + 72, multiplication is distributive
4W = P - 72, transposition
4W = 140 -72, substitution
4W = 68, subtraction
W = 17 ft, dividing both sides of the equation by 4, Answer (1)
From Equation (1)
L = W + 36
L = 17 + 36, substituting the value of W from Answer (1)
L = 53 ft., Answer (2)
P.S.
Refer to my other approach concerning a similar problem.

Answer 4

Okay,

Perimeter = 2l + 2 w

and the length is 36 ft more than the width, so

l = w + 36

Solve the system;

{2l + 2w = 140
{l - w = 36

Multiply the second equation by 2 and add the two equations together to get rid of w.

4l = 212
l = 53

Substitute for l,

53 - w = 36
- w = - 17
w = 17

Answer 5

a. Seven-- in a rectangle each set of sides are equal. Width is 3. 3 x 2 (for the other side) = 6 20(Perimeter) - 6 = 14. 14 is added width of 2 remaining sides, which are equal so divide 14 by 2. 7! yay b. x = 2/3y + 2 3x - 2y = 6 move 2y over by adding 2y to both sides 3x = 2y + 6 divide both sides by 3 to isolate x x = 2/3y + 2

Answer 6

2(w+w+36)=140
4w+72=140
4w=68
w=17
length=17+36=53
so the dimensions are l=53 ft
width=17 ft

Answer 7

53x17.

(140-72)/4 =17

17+36=53

Answer 8

53 length
17 width

53-17=36

53+17=70x2=140