Answered

IDNLearn.com is committed to providing high-quality answers to your questions. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.