SOLUTION: please help me solve this a rectangle piece of cardboard measure 17m by 14m. stripes of equal width area cut off one side and one end. the area of the remaining piece is 102cm. f

Question 1127488: please help me solve this
a rectangle piece of cardboard measure 17m by 14m. stripes of equal width area cut off one side and one end. the area of the remaining piece is 102cm. find the width of the stripes removed.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a rectangle piece of cardboard measure 17m by 14m.
stripes of equal width area cut off one side and one end. the area of the remaining piece is 102 sq/cm.
find the width of the stripes removed.
:
Making a drawing of this will help
Find the area of the card board: 17 * 14 = 238 sq/cm
Find the area of the strips: 238 - 102 = 136 sq cm
:
let x = the width of strip
then
Area of one strip = 17x
Area of the other strip = x(14-x)
:
17x + x(14-x) = 136
17x + 14x - x^2 = 136
A quadratic equation
-x^2 + 31x - 136 = 0
multiply equation by -1
x^2 - 31x + 136 = 0
Use the quadratic formula to find x: a=1; b=-31; c=136
The resonable solution I got
5.29 cm is the width of the stips
RELATED QUESTIONS
a rectangular piece of cardboard measures 17cm by 14cm stripes of equal width are cutoff... (answered by ankor@dixie-net.com)

A rectangular piece of cardboard measure 21cm by 16cm. When strips of equal width are cut (answered by ikleyn)

A rectangular piece of cardboard measures 17cm by 14cm. Strips of equal width are cut off (answered by josgarithmetic)

Please help me solve this problem: A box with no top is to be constructed from a piece of (answered by josmiceli)

Please help me solve this: A box with no top is to be constructed from a piece of... (answered by josgarithmetic,MathTherapy)

I need help with this word problem:My online HW is giving me one last try on this... (answered by Alan3354,ankor@dixie-net.com)

Suppose you are given a rectangular piece of cardboard having length 6x−7 inches... (answered by josgarithmetic,MathTherapy)

Suppose you are given a rectangular piece of cardboard having length 3𝑥−2 inches and (answered by Boreal)

Question: One-fifth of the width and one-fourth of the length of a rectangular... (answered by KMST)