Answered

Explore a vast range of topics and get informed answers at IDNLearn.com. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.

Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are the length and width of the room?

Sagot :

Mackiemesseridn
lenght - a
width - b
Area= a*b
320=ab
b=4/5a
320=[tex] 4a^{2}/5[/tex]
400=[tex] a^{2} [/tex]
a=[tex] \sqrt{400} [/tex]
a=20
b=16
Repraisedsidn

Answer:

Read below.

Step-by-step explanation:

A=l*w

320=l*(4/5)l

320=(4/5)(l2)

(5/4)(320)=(5/4)(4/5)(l2)

5(80)=l2   (320/4=80)

400=l2

√400=√l2

20=l

w=(4/5)(20)

w=4*4  (20/5=4)

w=16

length=20 feet

width=16 feet

If you don't understand square roots, maybe you understand prime factorization.

320=2*2*2*2*2*2*5=(2*2*2*2)*(2*2*5)=16*20 and 16 is 4/5 of 20

If you don't understand prime factorization you can use trial and error.

2*160

4*80

5*64

8*40

10*32

16*20  answer, because 16 is 4/5 or 0.8 times 20

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.