The width of a rectangle is 6 m shorter than its length. if the perimeter of the rectangle is 52 m, find its length and width.

length = 16 m, width = 22 m

length = 29 m, width = 23 m

length = 29 m, width = 35 m

length = 16 m, width = 10 m

lenth = 16 m, width = 10 m

Step-by-step explanation:

Perimeter = length + length + width + width

52 = L + L + (L-6) + (L-6)

52 = 4L -12

52 + 12 = 4L - 12 + 12

64 = 4L

64/4 = 4L/4

16 = L

Width = L - 6 or 16 - 6

Width = 10

52 = 16 + 16 + 10 + 10

52 = 52

answer: asdfghjkl,mnbv

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.