Find the area of the following shape. you must show all work to receive credit.
1 answer:
Answer:
<h2>A = 57</h2>Step-by-step explanation:
Use the Pick's theorem
Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!
In fact, the area is given by
where <em>i</em> is the number interior lattice points, and<em> b</em> is the number of boundary lattice points.
Look at the picture.
Substitute:
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<h2>~<u>Solution</u> :-</h2>
Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.
- Hence, we can see that, here, we have been given the linear equation be;
Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .
Hence,
- Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;
- Hence, the number of 25 paise coins will be <u>12</u>.