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
Answer:
X=0
Step-by-step explanation:
The value of 4 in 429 is 400
429 is in the hundreds spot (four hundred).
429 is in the tens spot (twenty).
429 is in the ones spot (nine).
6 i think because of the picture
Answer:
Step-by-step explanation:
<u>Solution 1:</u>
As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be . The area of this figure can be given as , therefore our answer is .
<u>Solution 2:</u>
The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by . Since there are 2 of these triangles, the area of the entire figure is .