Answer:
18 meters
Step-by-step explanation:
If the width is w, the length is w + 7.
Perimeter = 2(width + length), therefore:
86 = 2(w + w + 7)
86 = 2(2w + 7)
43 = 2w + 7
36 = 2w
w = 18
Answer:
Step-by-step explanation:
Given,
Let length of a rectangle be ' x + 7 ' meters
Let width of a rectangle be ' x ' meters
Perimeter = 86 meters
Now, let's find the width of the rectangle:
Perimeter of rectangle = [tex]2(l + b)[/tex]
plug the values
[tex]86 = 2(x + 7 + x)[/tex]
Collect like terms
[tex]86 = 2(2x + 7)[/tex]
Distribute 2 through the parentheses
[tex]86 = 4x + 14[/tex]
Move constant to R.H.S and change its sign
[tex]86 - 14 = 4x[/tex]
Calculate the difference
[tex]72 = 4x[/tex]
Swipe the sides of the equation
[tex]4x = 72[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{72}{4} [/tex]
Calculate
[tex]x = 18[/tex] meters
Hope this helps..
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