Given:
The scale factor of the actual sports utility vehicle to the toy model is 50:1.
Actual length = 7 feet
Actual width = 5 feet
To find:
The length and width of the toy model.
Solution:
a. Let l be the length of the toy model, then
![\frac{\text{Actual length}}{\text{Length of the toy model}}=(50)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/bnqovkls8xhmsv0p1rxgbnzxuuv3wmm6vx.png)
![(7)/(l)=(50)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/hwqil4daidpoalwur4fsiflcct551zesid.png)
![7=50l](https://img.qammunity.org/2022/formulas/mathematics/high-school/vwurkiv4o78kx6fhorxpj0tbhtdw66ishe.png)
![(7)/(50)=l](https://img.qammunity.org/2022/formulas/mathematics/high-school/zywucd7ljawnjhtrjd5um1r9ps2pgn70n0.png)
![0.14=l](https://img.qammunity.org/2022/formulas/mathematics/high-school/ox02oa0gfavnxkmi3lplnyfju1e5808rlp.png)
Therefore, the length of the toy model is 0.14 feet.
b. Let w be the width of the toy model, then
![\frac{\text{Actual width}}{\text{Width of the toy model}}=(50)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/o6onqmwq9asi0meboxxocx2di29szwfdbw.png)
![(5)/(w)=(50)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/p4ndeipbkjipc9s4e7lsv361hu8oekepb9.png)
![5=50w](https://img.qammunity.org/2022/formulas/mathematics/high-school/57vzfe1707guwdtarud2s0pzzhv7y02orj.png)
![(5)/(50)=w](https://img.qammunity.org/2022/formulas/mathematics/high-school/wcozcgcyhyka1wtqd73s50b7ihjcg5et2l.png)
![0.10=w](https://img.qammunity.org/2022/formulas/mathematics/high-school/w3c4fbiqwhs256f6pajg33b1d15dcedkqg.png)
Therefore, the width of the toy model is 0.10 feet.