81.8k views
2 votes
HELP PLS Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the

scale 1 inch:2 feet.
(a) What is the length of the garden in her model? Show your work, including your proportion.
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model
drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

1 Answer

4 votes

Answer:

(a) 3 in

(b) Yes, her model drawing is 3 in by 5 in -- smaller than the 5 in by 7 in paper

Explanation:

a) The proportion can be written ...

(model length)/(6 ft) = (1 in)/(2 ft)

Multiplying by 6 ft, we have ...

(model length) = (1 in)(6/2) = 3 in

Kelly's model is 3 inches long.

__

b) The model width is described as 5 inches. Both the 3-inch length and the 5-inch width are less than the 8.5 inch and 7 inch dimensions of the paper Kelly is using. She can easily draw her model on that size paper.

User Stefanus Anggara
by
9.2k points