Question

1. if a small garden plot measures 4 feet by 6 feet and is scaled up by a factor of 2.5, what are the new dimensions?

a. 8 feet by 12 feet
b. 16 feet by 24 feet
c. 12 feet by 18 feet
d. 10 feet by 15 feet

1. if a triangle with sides 3 cm, 4 cm, and 5 cm is dilated by a scale factor of 2, what are the new side lengths?

a. 6 cm, 7 cm, 8 cm
b. 6 cm, 8 cm, 10 cm
c. 12 cm, 16 cm, 20 cm
d. 9 cm, 12 cm, 15 cm

Explanation:

Step1: Scale garden dimensions

Multiply each original dimension by the scale factor 2.5:
New length: $4 \times 2.5 = 10$ feet
New width: $6 \times 2.5 = 15$ feet

Step2: Scale triangle side lengths

Multiply each original side by the scale factor 2:
New side 1: $3 \times 2 = 6$ cm
New side 2: $4 \times 2 = 8$ cm
New side 3: $5 \times 2 = 10$ cm

Answer:

1. d. 10 feet by 15 feet
2. b. 6 cm, 8 cm, 10 cm