Answered

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?

Verified Answer :

mackiemesser

lenght - a
width - b
Area= a*b
320=ab
b=4/5a
320=\(4a^{2}/5\)
400=\(a^{2}\)
a=\(\sqrt{400}\)
a=20
b=16

repraiseds

Answer:

Read below.

Step-by-step explanation:

A=lw

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=44  (20/5=4)

w=16

length=20 feet

width=16 feet

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

320=2222225=(2222)(225)=1620 and 16 is 4/5 of 20

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

2160

480

564

840

1032

1620  answer, because 16 is 4/5 or 0.8 times 20

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