3. A rectangle has a width of 2x-3 meters and a length of x + 6 meters. Find the area of the
rectangle.​


Sagot :

[tex]\large\bold\blue{\tt{PROBLEM:}}[/tex]

A rectangle has a width of 2x-3 meters and a length of x + 6 meters. Find the area of the rectangle.

[tex]\large\bold\blue{\tt{GIVEN:}}[/tex]

width = 2x–3 meters

length = x+6 meters

area = ?

[tex]\large\bold\blue{\tt{SOLUTON:}}[/tex]

[tex] \large \tt formula: A = lw \\ \\ \\ \tt A = lw \\ \\ \tt A =(x + 6)(2x - 3) \\ \\ \tt A =(x)(2x) + (x)( - 3) + (6)(2x) + (6)( - 3) \\ \\ \tt A =2 {x}^{2} - 3x + 12x - 18 \\ \\ { \boxed{ \tt { A =2 {x}^{2} + 9x - 18}}}[/tex]

[tex]\large\bold\blue{\tt{FINAL\: ANSWER:}}[/tex]

[tex]\Large\bold\red{\boxed{\tt{A=2x²+9x–18\:meters}}}[/tex]