What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 2.5?
6 cm x 8 cm
A Perimeter = 38 cm, area = 89.25 cm²
B Perimeter = 38 cm, area = 300 cm²
C Perimeter = 70 cm, area = 89.25 cm²
D Perimeter = 70 cm, area = 300 cm²
D Perimeter = 70 cm, area = 300 cm²
To find the perimeter and area of the rectangle after it is enlarged using a scale factor of 2.5, you need to multiply each side of the original rectangle by the scale factor.
The original dimensions of the rectangle are 6 cm x 8 cm. Multiplying each side by 2.5 gives us the new dimensions of the enlarged rectangle: 6 cm * 2.5 = 15 cm and 8 cm * 2.5 = 20 cm.
To find the perimeter, add up all the sides of the rectangle. In this case, it would be (15 cm + 20 cm) * 2 = 70 cm. So, the perimeter of the enlarged rectangle is 70 cm.
To find the area, multiply the length and width of the rectangle. In this case, it would be 15 cm * 20 cm = 300 cm². So, the area of the enlarged rectangle is 300 cm².
Therefore, the correct answer is option D: Perimeter = 70 cm, area = 300 cm².
To find the perimeter and area of the enlarged rectangle, we need to multiply the dimensions of the original rectangle by the scale factor of 2.5.
Original dimensions: 6 cm x 8 cm
Enlarged dimensions: (6 cm × 2.5) x (8 cm × 2.5) = 15 cm x 20 cm
Perimeter of the enlarged rectangle: 2 × (length + width) = 2 × (15 cm + 20 cm) = 2 × 35 cm = 70 cm
Area of the enlarged rectangle: length × width = 15 cm × 20 cm = 300 cm²
Therefore, the correct answer is:
D Perimeter = 70 cm, area = 300 cm²