The sides of a square are increased by a scale factor of 7. The perimeter of the smaller square is 16 ft. What is the perimeter of the larger square?
4 ft
28 ft
56 ft******
112 ft
ok thank you very much Reiny, you teachers at Jiskha are awesome
The perimeter of the original square is 16 ft
so each side is 4 ft
How did I get 4 ft as the length of a side ??
now the new square will be 28 ft on each side, so .....
To find the perimeter of the larger square, we need to multiply the perimeter of the smaller square by the scale factor, which is 7.
The perimeter of the smaller square is 16 ft.
Perimeter of the larger square = Perimeter of the smaller square × Scale factor
Perimeter of the larger square = 16 ft × 7
Perimeter of the larger square = 112 ft
Therefore, the perimeter of the larger square is 112 ft.
To find the perimeter of the larger square, we need to determine the length of its sides.
We are given that the sides of the smaller square have a perimeter of 16 ft. Since a square has all sides equal in length, we can divide the perimeter by 4 to find the length of one side.
16 ft ÷ 4 = 4 ft
Therefore, the sides of the smaller square are each 4 ft long.
To find the sides of the larger square, we need to multiply the scale factor of 7 by the length of the sides of the smaller square.
7 x 4 ft = 28 ft
Thus, the sides of the larger square are each 28 ft long.
Finally, to find the perimeter of the larger square, we multiply the length of one side by 4, as all sides are equal in length for a square.
28 ft x 4 = 112 ft
Therefore, the perimeter of the larger square is 112 ft.