Question

fiona enlarges a parallelogram that has a perimeter of 17 meters. diagram: two parallelograms, smaller with side 3.5 m, larger with side 21 m; note: not drawn to scale what is the perimeter of the enlarged parallelogram? options: 30 meters, 73.5 meters, 102 meters, 105 meters

Explanation:

Step1: Find the scale factor

The original side length is \( 3.5 \) m and the enlarged side length is \( 21 \) m. The scale factor \( k \) is calculated as \( k=\frac{21}{3.5} = 6 \).

Step2: Calculate the perimeter of the enlarged parallelogram

When a figure is enlarged by a scale factor \( k \), the perimeter is also multiplied by \( k \). The original perimeter is \( 17 \) meters. So the perimeter of the enlarged parallelogram is \( 17\times6 = 102 \) meters.

Answer:

102 meters