Given the numbers x = a and y = –b, which statement is true?
2 answers:
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The perimeter of the figure is 58 units
The area of the figure is 130 unit square
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To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.
Having said that, the perimeter is:
To calculate the area, we use a different approach.
First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.
From left to right, we have:
Rectangle 1
Rectangle 2
Rectangle 3
The area of a rectangle is:
So, the area of the figure is:
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Answer:
Step-by-step explanation:
To find the value of y, you can create an equation where two parts of the line are equal to the whole line:
Substitute given values:
Solve for y. Simplify parentheses:
Combine like terms to simplify the equation:
Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:
Subtract 9y from both sides:
Isolate the variable. Divide both sides by 10:
The value of y is 2. Insert this value into each line segment value and solve:
:Done
You can check by using:
This statement is true, so the values are correct.