Question

1. the original poster is a rectangle measuring 12 inches wide and 18 inches tall. you want to create a scale drawing using a scale factor of ½. what will be the width and height of the scale drawing? 18 inches 12 inches a triangular sign has side lengths of 8 cm, 6 cm, and 10 cm. you are creating a smaller version using a scale factor of 0.25. what are the lengths of the sides in the scale drawing? 8 cm 6 cm 10 cm have a small photo that is 2.25 inches by 6 inches. you want to enlarge it by a scale factor. what will be the dimensions of the enlarged photo? 2.25 in 6 in

Explanation:

Step1: Calculate new dimensions of rectangle in first problem

Multiply original width by scale - factor.
$12\times\frac{1}{2}=6$ inches

Step2: Calculate new height of rectangle in first problem

Multiply original height by scale - factor.
$18\times\frac{1}{2}=9$ inches

Step3: Calculate new side - lengths of triangle

Multiply each side - length of the triangle by the scale factor of 0.25.
$8\times0.25 = 2$ cm
$6\times0.25=1.5$ cm
$10\times0.25 = 2.5$ cm

Step4: Calculate new dimensions of rectangle in third problem

Multiply original width by scale factor.
$2.25\times4 = 9$ inches

Step5: Calculate new height of rectangle in third problem

Multiply original height by scale factor.
$6\times4=24$ inches

Answer:

1. Width of the scale - drawing of the poster: 6 inches, Height: 9 inches
2. Side - lengths of the scale - drawing of the triangle: 2 cm, 1.5 cm, 2.5 cm
3. Dimensions of the enlarged photo: 9 inches by 24 inches