The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Rectangle 1. 14, 6
rec 2. 22, 9
To find the scale factor, we can compare the corresponding side lengths of the two rectangles.
The width of the first rectangle is 14, and the width of the second rectangle is 22. So, the scale factor for the width is 22/14, which simplifies to 11/7.
The height of the first rectangle is 6, and the height of the second rectangle is 9. So, the scale factor for the height is 9/6, which simplifies to 3/2.
Since the scale factor is the same for both the width and height, we can conclude that the scale factor is 11/7 or 3/2.
what is it as a whole number
To express the scale factor as a whole number, we need to find a common multiple of the numerator and denominator.
The scale factor is 11/7 or 3/2.
To convert 11/7 to a whole number, we can multiply both the numerator and denominator by 7.
(11/7) x 7/7 = 77/49
So, the scale factor can be expressed as the whole number 77/49.
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Number 1. 3 and 4
number 2. 9 /2 and 6
To find the scale factor, we can compare the corresponding side lengths of the two right triangles.
The base of the first right triangle is 3, and the base of the second right triangle is 9/2. To find the scale factor for the base, we can divide the second base by the first base: (9/2) / 3 = (9/2) * (1/3) = 9/6 = 3/2.
The height of the first right triangle is 4, and the height of the second right triangle is 6. To find the scale factor for the height, we can divide the second height by the first height: 6 / 4 = 3/2.
Since the scale factor is the same for both the base and height, we can conclude that the scale factor is 3/2.
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form
Two triangles. The left side of the triangle on the left is labeled 3. The bottom side of the triangle on the left is labeled 4. The left side of the triangle on the right is labeled start fraction, 9, divided by, 2, end fraction. The bottom side of the triangle on the right is labeled 6.
To find the scale factor, we can compare the corresponding side lengths of the two triangles.
The left side of the first triangle is labeled 3, and the left side of the second triangle is labeled 9/2.
To find the scale factor for the left side, we can divide the second side length by the first side length:
(9/2) ÷ 3 = (9/2) × (1/3) = 9/6 = 3/2.
The bottom side of the first triangle is labeled 4, and the bottom side of the second triangle is labeled 6.
To find the scale factor for the bottom side, we can divide the second side length by the first side length:
6 ÷ 4 = 6/4 = 3/2.
Since the scale factor is the same for both sides, we can conclude that the scale factor is 3/2.