The perimeter of a rectangle of a rectangular field is 76 ft. the length is 12 ft longer than the width. find the fields dimensions

The length is 25 and the width is 13. (25,13)

Step-by-step explanation:

the formula for perimeter is l+l+w+w=76 or 2l+2w=76

and since we know that the length is 12 more than the width, we can create an equation. w+12=l (-l+w=-12)

solve with elimination method:

2l+2w=76

2(-l+w=-12)

2l+2w=76

-2l+2w=-24

4w=52

w=13

Now that we know w=13, add 12 to the width and you get your width (25)

You can check this with the formula 2l+2w=76

2(25)+2(13)=76

50+26=76

and

w+12=l

13+12=25

Hope this helps!

answer:

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.