<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
The first expression could be written as 3x + 12 and the second could be written as 2x + 6.
In order to find these, count the number of x's you see in each question. Then use that number as the coefficient to x in your statement. The first problem has 3 and the second has 2.
Then add the numbers of 1's together to get the constants at the end of the expressions. The first has 12 and the second has 6.
The equation to find the interior angles of a regular polygon is S = (n - 2)*180/n, so you do 16-2=14, then multiply 14 by 180 to get 2520. You then divide that by 16 to get 157.5.
