find the dimension of the rectangle.

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

The area of a rectangle is 6m sq , and the length of the rectangle is 

 more than double the width. Find the dimensions of the rectangle.
Oct 20th, 2017

let the width be "x"
so length "l" = 5+2x

given area = 63 m sq
area of rectangle is given by = length*width

so, (5+2x)(x)= 63
or 2x^2 +5x = 63
or, 2x^2+5x -63=0
or, 2x^2 +14x -9x -63 = 0
or, 2x(x+7)-9(x+4) = 0
or, (2x-9)(x+7)=0

so, 2x-9=0 or, x=9/2 = 4.5
and x+7=0, or x=-7
since width cannot be negative.
x= 4.5 m

so length = 5+2x=5+2*4.5 = 5+9 = 14

so length =14 m and width = 4.5 m

Please best my answer and add me as your tutor for further help. Thanks :)

Dec 10th, 2014

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
Oct 20th, 2017
Oct 20th, 2017
Oct 21st, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer