Question

A regulation soccer goal net is 24 ft wide by 8 ft high. A soccer net for children is 6 ft wide. If the manufacturer wishes to keep the children's soccer net to scale, how tall should the children's net be? What is the scale factor? (round answer to two decimal places)

Answer 1

To maintain the scale of a children's soccer net to that of a regulation net, the height should be 2 feet, given that the child-size net is 6 feet wide. The scale factor used is 0.25.

Step-by-step explanation:

The question asks us to find the scaled dimensions for a children's soccer net based on the dimensions of a regulation soccer goal net. The original dimensions are 24 ft in width and 8 ft in height. If a children's soccer net is 6 ft wide and we want to keep the same scale, we need to calculate the height of the net in proportion to the regulation net's dimensions.

Height Calculation:

The scale factor is the ratio of the width of the children's net to the width of the regulation net. To find the height of the children's net, we multiply the height of the regulation net by the scale factor:

Scale Factor = Width of Children's Net / Width of Regulation Net

Scale Factor = 6 ft / 24 ft = 0.25

Height of Children's Net = Scale Factor × Height of Regulation Net

Height of Children's Net = 0.25 × 8 ft = 2 ft

Therefore, to maintain the scale, the height of the children's soccer net should be 2 feet, and the scale factor is 0.25.

Answer 2

If the regular soccer goal was 24 ft wide and the kid soccer goal was 6 ft wide 6x4=24 so if you would do the same thing to the height the kid soccer goal would be 2 ft tall