Hi there!
The general formula to find the perimeter of a rectangle is :
P = (Length × 2) + (Width × 2)
Let's say the width of the rectangle is "x".
The lenght of the rectangle is equal to 2x + 4.2
Replace everything you know in the formula :
42.6 = ((2x + 4.2) × 2) + ((x) × 2)
Simplify everything :
2x × 2 = 4x
4.2 × 2 = 8.4
x × 2 = 2x
42.6 = 4x + 8.4 + 2x
42.6 = 6x + 8.4
Isolate "x":
42.6 = 6x + 8.4
Subtract 8.4 from each side of the equation
34.2 = 6x
Divide each side of the equation by 6
5.7 = x
5.7cm = the width of the rectangle
Since the lenght of the rectangle is equal to 2 times the width of the rectangle plus 4.2 :
Length = (2 × 5.7) + 4.2
Length = 15.6cm
42.6 = (2 × 15.6) + (2 × 5.7) ? → YES
There you go! I really hope this helped, if there's anything just let me know! :)
Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5
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Work Shown:
AE = 2*(BD)
4x+8 = 2*(4x+3)
4x+8 = 8x+6
8-6 = 8x-4x
2 = 4x
4x = 2
x = 2/4
x = 1/2
x = 0.5
note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.
another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.
Answer:
the answer is 23 on edguniity
Step-by-step explanation:
Answer:
The third Number line = C
P = - 1 ; Q = 7
Step-by-step explanation:
P = - 1 ; as the tick marks are 1 unit apart ; hence the point P is located either side of - 2 and 0 ; therefore, the point Q is either :
(-2 + 1) = - 1 or (0 - 1) = - 1
Q = 7 ; Q is position on between 6 and 8 ; therefore, the number which falls in the middle of both numbers is 7.