SOLUTION: A rectangular piece of fabric has a square cut out of one corner.the longer edge of the piece of fabric 11cm longer than the side of the square, and the shorter edge is 3cm longer

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Question 1042500: A rectangular piece of fabric has a square cut out of one corner.the longer edge of the piece of fabric 11cm longer than the side of the square, and the shorter edge is 3cm longer than the side of the square.if the remaining area is 103cm^2,calculate the dimensions of the original rectangular piece of fabric.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You could and maybe should draw the description and label the parts described including any numbers and variables.

x and y are the dimensions of original rectangle.
p is the side length of the square to be cut from one corner.

the longer edge of the piece of fabric 11cm longer than the side of the square,
Assuming x%3Cy
y=p%2B11



the shorter edge is 3cm longer than the side of the square
x=p%2B3

the remaining area is 103cm^2
xy-p%5E2=103------Be sure this makes sense.


When it does, continue using substitution of x and y.
highlight_green%28%28p%2B3%29%28p%2B11%29-p%5E2=103%29


I leave the rest of the work to you. Solve first for p, and expect to find a linear equation (yes, linear NOT quadratic), and then use p to evaluate x and y.