Question

Give possible expressions for the length and breadth of the following rectangles, in which their area are given.
Area: $25a^2-35a+12$.

• A. $l$ = $\frac{4}{5}$ $and$ $b$ = $\frac{3}{5}$
• B. $l$ = $5$ $and$ $b$ = $3$
• C. $l$ = $1$ $and$ $b$ = $0$
• D. $l$ = $4$ $and$ $b$ = $3$

Answer 1

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

area$={25}^2-35a+12$

${25}^2-35a+12=0$

$a=\frac{35\pm \sqrt{{35}^2-4\left(25\right)\left(12\right)}}{2\left(25\right)}a=\frac{35\pm 5}{50}a=\frac{40}{50},\frac{30}{50}a=\frac{4}{5},\frac{3}{5}$