Question

Give possible expressions for the length and breadth of the following rectangles, in which their areas are given.
Area: $35y^2+13y-12$.

• A. $l$ = $\frac{4}{5}$ $and$ $b$ = $\frac{3}{5}$
  
• B. $l$ = $\frac{2}{5}$ $and$ $b$ = $\frac{-3}{5}$
  
• C. $l$ = $\frac{3}{5}$ $and$ $b$ = $\frac{-4}{5}$
  
• D. $l$ = $\frac{-4}{5}$ $and$ $b$ = $\frac{-3}{5}$
  

Answer 1

The correct option is C $l$ = $\frac{3}{5}$ $and$ $b$ = $\frac{-4}{5}$

area$=35y^2+13y-12$

$35y^2+13y-12=0$

$y=\frac{-13\pm \sqrt{{13}^2-4\left(35\right)(-12)}}{2\left(35\right)}y=\frac{-13\pm 43}{70}y=\frac{30}{70},\frac{-56}{70}y=\frac{3}{7},\frac{-4}{5}$