Question 1196831
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(1) Using formal algebra (which is probably what you were asked to do...)<br>
x = side of original square<br>
x+8 and x-4 are side lengths of rectangle<br>
The area of the rectangle is 133:<br>
{{{(x+8)(x-4)=133}}}
{{{x^2+4x-32=133}}}
{{{x^2+4x-165=0}}}
{{{(x+15)(x-11)=0}}}
{{{x=-15}}} or {{{x=11}}}<br>
Clearly the negative solution makes no sense in the problem, so the side length of the square was 11m.<br>
ANSWER: area of original square = 11^2 = 121 square meters<br>
(2) Using simple mental arithmetic...<br>
133 = 7(19) = (11-4)(11+8)<br>