Question

The perimeter of a rectangle is 24ft. the length is 2ft longer than the width find the demensions. write a system of linear equations and solve the system, X is the length, Y width. 2x+2x=
x=y what is the length and what is the width in feet?

Answer 1

x + 2 = length
x = width

x + 2 + x = 24
2x + 2 = 24
2x = 22
x = 11

The width is 11ft, and since the length is two feet longer than the width, the length is 13ft.

Answer 2

given, X = length and Y = width
also, X = Y + 2

perimenter for rectangle, P = 2 (X +Y)

Therefore, 24 = 2 (Y + 2 + Y)
24 = 4Y + 4
y = 5

width Y = 5
Length X =7

Answer 3

totally confused. There are two different answers

Answer 4

ohh.. @JBrightman3 : Perimeter for rectangles shd be 2 (l + B), right ??

Answer 5

I'm sorry, my answer was wrong. I only counted one side of the length and one side of the width. I should have counted two of each. @Ganpat has the correct answer. I apologize again!

Answer 6

It's okay, thanks for the help. so if I write the first equation would it be 2(x+y)? and what about the second equation

Answer 7

Yes, it would be 2(x + y), but you don't know what y is. You just know that y is x + 2. So it is now 2(x + x + 2) = 24. Solve for x.

2(2x + 2) = 24
4x + 4 = 24
4x = 20
x = 5

So the width is 5, and the length is 2 feet longer than the width, so the length is 7.

Answer 8

so its not 13 length and 11 width? it is width 5 and length 7?

Answer 9

Exactly. :)

Answer 10

x=intercept2 and y intercept 2/5/ what is the slope of the line?

Answer 11

The y intercept is 2 / 5?

If that is so, then the equation of the line is 2y + 0.4x = 0.8.
Put that into slope-intercept form.

Answer 12

2y + 0.4x = 0.8
y + 0.2x = 0.4
y = -0.2x + 0.4

The slope intercept form is y = mx + b, where m is the slope. In this equation, -0.2 is m, so -0.2 is the slope. :)

Answer 13

@antjojo3009 Is that one of the options?