A map of a park has a scale of 1 inch to 1000 feet. ANOTHER map of the same park has a scale of 1 inch to 500 feet. Which map is lager? EXPLAIN or Show your reasoning

Respuesta :

Answer:

Second map

Step-by-step explanation:

We are given that a map of a park has  a scale of 1 inch to 1000 feet.

Another map of the same park has  a scale of 1 inch to 500 feet.

We have to find which map is larger.

Suppose we have length =3000 feet

Width=2000  feet

In scale I

Length =[tex]3\div 1000=3 inches[/tex]

Width=[tex]2000\div 1000=2 in[/tex]

Area=[tex]3\times 2=6 square in[/tex]

In second scale

Length =[tex]3000\div 500=6 inch [/tex]

Width=[tex]2000\div 500=4 in [/tex]

Area=[tex]6\times 4=24[/tex] square in

Hence,second map has a  scale  of 1 inch to 500 feet  larger than the map has a scale of 1 inch to 1000 feet.

Based on the scale of both maps, the second map is larger

The map is a scale drawing of the park

A scale drawing is a smaller image of another image. The smaller image is reduced by a constant proportion of the original image

Assume that the length of the park is 10,000 feet:

the scale of the length on the first map would be 10,000 / 1000 = 10 inches

the scale of the length on the second map would be 10,000 /  500 = 20 inches

It can be seen that the second map has a larger length. Thus, it would be larger

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults