Question

Find the area of the rectangle with side (4y+6)(2x+3)

Answer 1

$\mathfrak{answer : }$

$\tt \green{given : \dag \: sides \: of \: the \: rectangle \: (4x + 6)(2x + 3)}$

$\tt \red{to o \: find : \dag \: area \: of \: a \: rectangle}$

$\tt \: we \: know \: that \: area \: of \: a \: rectangle \: is \: l \times b$

$\tt \:so...$

$(4x + 6)(2x + 3)$

$4x(2x + 3) + 6(2x + 3)$

$8 {x}^{2} + 12x + 12x + 18$

$8 {x}^{2} + 24x + 18$

$\tt \: divide \: the \: whole \: equation \: by \: 2 \:$

$\tt \: now..$

$4 {x}^{2} + 12x + 9$

solve the above equation and you will get the values of sides of a rectangle..