Question

Can you do it?,(:
chapter name : Quadratic equations

Answer 1

Let the length be x. Then, breadth is x-3

Area of rectangular park is
$x(x - 3)$

Area of triangular park is
$\frac{1}{2} \times (x - 3) \times 12 = 6(x - 3)$

Given,
$x(x - 3) = 6(x - 3)+ 4 \\ {x}^{2} - 9x + 14 = 0 \\ (x - 2)(x - 7) = 0 \\ x = 2 \: \: or \: \: 7$

2 is not possible for x, since x-3 becomes -ve

So, length, x = 7 m
breadth = x-3 = 4 m