KaiToy
contestada

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.
Questions:
(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?

Respuesta :

calculista

Answer:

Part a) 3 inches

Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

we know that

The scale drawing is

[tex]1\ inch:2\ feet[/tex]

That means

1 inch in the model represent 2 feet in the actual

Part a) What is the length of the garden in her model?

we know that

The length of the garden is 6 feet in the actual

so

Find out the length of the garden in her model, using proportion

[tex]\frac{1}{2}\ \frac{in}{ft}=\frac{x}{6}\ \frac{in}{ft}\\\\x=6/2\\\\x=3\ in[/tex]

Part 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?

we know that

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.

therefore

She can easily draw her model on that size paper.