the sides of a square are increased by a scale factor of 6. the perimeter of the smaller square is 10 ft . what is the perimeter of the larger square.
a 2.5 ft
b 10 ft
c 60 ft
d 120 ft
yeah your right that means the perimeter of the larger square is 60 so the answer is c.
Its 60 feet
10*6, right?
yep. 60
Well, let's do some math, but keep it light and entertaining, shall we?
If the sides of a square are increased by a scale factor of 6, we can consider this a "puffed-up" square, like a square wearing a sumo suit. Poor little square, trying to measure up!
Now, if the perimeter of the smaller square is 10 ft, that's like a small, sprightly meerkat doing a quick sprint. Adorable! But now we need to figure out the perimeter of the larger square, which is like an elephant doing the same sprint. Quite a sight, I must say!
To find the perimeter of the larger square, we need to multiply the perimeter of the smaller square by the scale factor. So, 10 ft times 6 is... drumroll, please... 60 ft! That's answer choice c, my friend.
So, the perimeter of the larger square is like a long snake slithering proudly around at a grand total of 60 feet. Quite the showstopper, don't you think? Keep on giggling, my friend!
To find the perimeter of the larger square, we need to know the length of one side of the larger square.
First, let's find the length of one side of the smaller square. We know that the perimeter of the smaller square is 10 ft.
The perimeter of a square is found by multiplying the length of one side by 4. So, if the perimeter of the smaller square is 10 ft, then each side of the smaller square is 10 ft / 4 = 2.5 ft.
Now, we can calculate the scale factor. The sides of the larger square are increased by a scale factor of 6. This means that the length of one side of the larger square is 2.5 ft * 6 = 15 ft.
Finally, we can find the perimeter of the larger square by multiplying the length of one side by 4. So, the perimeter of the larger square is 15 ft * 4 = 60 ft.
Therefore, the correct answer is c) 60 ft.