A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet. The width of the banner is #1/4# the length of the banner. What are the dimensions of the banner?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

16
Tony B Share
Mar 11, 2016

Answer:

Width is 6; Length is 24

Explanation:

Key points:

Rectangle shape

Area #-> 144" " ft^2#

Width = #("length")/4#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let the area be #A = 144#
Let the width be #W#
Let the length be #L#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~
Known: #A=WxxL=144#...........................(1)

Given: #W=L/4#.............................(2)

#color(blue)("To determine the value of L")#

Substitute (2) into (1) giving

#L/4xxL=144#

#=> L^2/4=144#

Multiply both sides by 4

#4/4 xxL^2=144xx4#

#L^2=576#

Taking the square root of each side

#color(blue)(L=sqrt(576) = 24)#
'~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("To determine the value of W")#

#WxxL=144#

But L=24 so we have

#24W=144#

Divide both sides by 24

#24/24xxW=144/24 #

#color(blue)(W=6)#

Was this helpful? Let the contributor know!
1500