word problem for mathematics

Mathematics
Tutor: None Selected Time limit: 1 Day

May 20th, 2015

Note H^2 = h^2 + b2

so

(2h + 13)2 = h^2 + (2h+11)^2

4h^2 + 52h + 169 = h^2 + 4h^2 + 44h + 121

52h + 169 = h^2 + 44h +121

52h -44h -h^2 + 169-121 = 0

-h^2 - 8h -48 = 0

I have run out of time. Let me solve the equation in  the next submission.

May 20th, 2015

52h -44h -h^2 + 169-121 = 0

-h^2 - 8h + 48 = 0

-h(h+12) + 4(h+12) = 0

(h + 12)(4-h) = 0

h = -12 or 4

So h is 4 inches since the width cannot be negative.


May 20th, 2015

wrong

May 20th, 2015

wrong

May 20th, 2015

I have realized there is a minor correction.

May 20th, 2015

Sorry! there was a power black out. Let me counter check.


May 20th, 2015

(2h + 13)2 = h^2 + (2h+11)^2

h2 + 4h2 + 44h +121 = 4h2 + 52h +169

h2 -44h + 121 -52h -169 = 0

h2-8h -48 = 0

h2 - 12h +4h -48 = 0

h(h-12)+4(h-12)= 0

(h-12)(h+4) = 0

h = 12 or -4

h = 12 inches since measurement cannot be negative. 

Thank you for your patience. 

May 20th, 2015

the question is asking for the width...not the height...

May 20th, 2015

the question is asking for the width...not the height...

May 20th, 2015

Hope this helps! 

May 20th, 2015

what is the length?

May 20th, 2015

what is the length?

May 20th, 2015

You will find in the above rectangle h stand for the width, 2h + 11 stands for the length, and 2h + 13 is the hypotenuse. So the width is is 12 inches, the length is 35 inches, and the hypotenuse is 37 inches.

NB: h can be replaced by any letter. It does not mean the height. Remember the width is the shortest side of a rectangle.



May 20th, 2015

"The  length of a rectangle is 11 inches greater than twice the width."

Hence the length is 2h +11 and the width h.

May 20th, 2015

The length is given by 2h + 11 and h is 12, so the length is 35 inches.

May 20th, 2015

Is there any issue?

May 20th, 2015

 Thanks for your patience once more and sorry for the minor correction.

May 20th, 2015

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