The appropriate choice is ...
(25−2x)(20−2x)x
_____
When x is cut from each side of the 25 dimension, the remaining dimension of the bottom of the box is 25-2x. Similarly, when x is cut from each side of the 20 dimension, the remaining dimension of the bottom of the box is 20-2x. The length of the side that is folded up is x, so that is how deep the box is.
The volume is the product of the dimensions of the bottom and the side:
(25−2x)(20−2x)x
Answer:
The perimeter is 24 units
Step-by-step explanation:
Given
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Required
Determine the perimeter
To do this, we calculate the distance AB, BC and AC.
Distance is calculated as:
So, we have:
So, the perimeter (P) is:
Answer: 5890 meters
Step-by-step explanation:
Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.
The lowest point in the valley is 57 meters below sea level.
in integers it is represented by -57 meters. [we use negative integer to represents "below"]
Difference between the highest and lowest point = Highest point - lowest point
= 5,833 meters -(-57) meters
= (5833 + 57) meters [a-(-b)= a+b]
= 5890 meters
Hence, the required difference = 5890 meters
Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
