A rectange has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5.
A. The area of the large rectangle is how many times the area of the small rectangle?
B. The perimter of the large rectangle is how many times the perimeter of the small rectangle?
Which one would the answer be A or B?
You need to do the calculations for both A and B. This is not an either-or question.
To find the answers to both questions, we need to calculate the area and perimeter of both rectangles.
The small rectangle has dimensions of 1 and 6. The area of a rectangle is calculated by multiplying its length and width, so the area of the small rectangle is 1 * 6 = 6 square units. The perimeter of a rectangle is found by adding the lengths of all its sides, so the perimeter of the small rectangle is 1 + 1 + 6 + 6 = 14 units.
To find the dimensions of the large rectangle, we need to use the scale factor of 1.5. Multiply the dimensions of the small rectangle by 1.5 to get the dimensions of the large rectangle.
Length of the large rectangle = 1 * 1.5 = 1.5 units
Width of the large rectangle = 6 * 1.5 = 9 units
Now we need to find the area and perimeter of the large rectangle using these dimensions.
The area of the large rectangle is 1.5 * 9 = 13.5 square units.
The perimeter of the large rectangle is 1.5 + 1.5 + 9 + 9 = 21 units.
Now let's answer the questions:
A. The area of the large rectangle (13.5 square units) is how many times the area of the small rectangle (6 square units)? To find this, we need to divide the area of the large rectangle by the area of the small rectangle: 13.5 / 6 = 2.25. Therefore, the area of the large rectangle is 2.25 times the area of the small rectangle.
B. The perimeter of the large rectangle (21 units) is how many times the perimeter of the small rectangle (14 units)? To find this, we need to divide the perimeter of the large rectangle by the perimeter of the small rectangle: 21 / 14 = 1.5. Therefore, the perimeter of the large rectangle is 1.5 times the perimeter of the small rectangle.
So, the answer to question A is "A. The area of the large rectangle is 2.25 times the area of the small rectangle" and the answer to question B is "B. The perimeter of the large rectangle is 1.5 times the perimeter of the small rectangle."