Question

the area of a rectangle is 77 ft. squared and the length is 3 ft more than twice the width. Find the dimensions

Answer 1

Area of rectangle= length* breadth
77=(3+2w)*w
find w= breadth
length=2+3w

Answer 2

\[2w ^{2}+3w-77=0\]
it's quadratic equation, use this formula for finding roots of quadratic equation\[ax ^{2}+bx+c=0\]
\[x=\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

Answer 3

I think it will factor, if you are interested in less computation.