Question

The following expressions are
the area of rectangles. find the
Possible length and breadth of
these rectangles :
i) x² - 6x+8​

Answer 1

Answer

• i hope it will be helpful for uhh.

Answer 2

Area = x² - 6x+8

Using quadratic formula,

$\sf \frac{ - b \: \pm \: \sqrt{ {b}^{2} - \: 4ac} }{2a}$

Here,

• b = 6
• a = 1
• c = 8

Substituting values in formula,

$\rightarrow \: \sf \frac{ 6 \: \pm \: \sqrt{ {6}^{2} - \: 4(1)(8)} }{2(1)} \\ \rightarrow \: \sf \: \sf \frac{ 6 \: \pm \: \sqrt{ 36 - \: 32} }{2} \\ \rightarrow \: \sf \: \sf \frac{ 6 \: \pm \: \sqrt{ 4} }{2} \\ \rightarrow \: \sf \: \sf \frac{ 6 \: \pm \: 2 }{2} \\ \rightarrow \: \sf \: \frac{6 + 2}{2} \: \: or \: \: \frac{ 6 - 2}{2} \\ \rightarrow \sf \: 4 \: \: or \: \: 2 \\ \therefore \: \sf \: x = 4 \: or \: x = 2$

Area of rectangle = L x B

~Case 1

Length = 2cm and Breadth = 4cm

~Case 2

Length = 4cm and breadth = 2cm