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telo118 [61]
3 years ago
6

Two rectangles are similar. The length and width of the first rectangle is 4 m by 5 m. The second rectangle is similar by a scal

e factor of 4. What is the area of the second rectangle in square meters
Mathematics
1 answer:
likoan [24]3 years ago
6 0
<h3>Answer:  320 square meters</h3>

===================================================

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.

---------------

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.

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Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
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3 years ago
Using addition rules, show how to add the two real numbers. 7 + (-14)
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Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:

Step 1: Rewrite the problem

-14 + 7 = ?

Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.

This means we would have to really subtract 7 from 14 to get 7.

Step 3: Keep the sign of the greater number

Since 14 is greater than 7, we will keep the negative sign in accordance.

Step 4: Simplify

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Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.
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