Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
y=15
5y-20=2y+25 move terms
5y-2y = 25+20 calculate like terms
3y=45 divide both sides by 3
The arc length of the partial circle is 7.5π
<h3>Calculating arc length</h3>
From the question, we are to determine the arc length of the partial circle
The length of an arc can be calculated by using the formula
Where is the length of the arc
is the angle subtended
and r is the radius
From the diagram,
θ = 270°
r = 5
Putting the values into the equation, we get
OR 7.5π
Hence, the arc length of the partial circle is 7.5π
Learn more on Calculating arc length here: brainly.com/question/16552139
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