Q:

PLEASE ANSWER ASAP1. The length of a bookshelf is 5 ft. The length of a model of this bookshelf is 3 ft. Find the scale factor of the model to the bookshelf. Enter your answer in the box.2. A rectangular garden has a length of 8 ft and a width of 4 ft. A smaller garden was made, using a scale factor of 34 . Find the dimensions of the smaller garden. Enter your answers in the boxes.

Accepted Solution

A:
1. You can find the scale factor bookshelf by dividing the actual length with model length.
If you put it into an equation, it would look like this

actual length= model length * scale factor
5ft= 3ft * scale factor
scale factor = 5ft/3ft= 1.667 times

2. You can solve this problem with equation used above. Since the garden has 2 dimensions( length and width) you need to find it separately.

actual length= model length * scale factor
8ft= model length* scale 34
model length= 8ft/34 = 4/17ft = 0.23529 ft

actual width= model width* scale factor
4ft= model width* scale 34
model width= 4ft/34= 2/17ft =0.11764 ft