Question

if the dimensions of flower field is 2x+8 by 3x-5 area of Flower garden will be what​

Answer 1

$\huge\mathcal {QUESTION}$

If the dimensions of flower field is 2x+8 by 3x-5 area of Flower garden will be what.

$\huge\mathcal {ANSWER}$

$\mathtt {Given:-}$

$\mathtt {Dimensions=2x+8~by~3x-5}$

$\mathtt {Let~the~length(l)~be~2x+8}$

$\mathtt {And~the~breadth(b)~be~3x-5}$

$\large\mathcal {We~know}$

${\boxed{\rm {Area~of~a~rectangle=l×b}}}$

$\mathtt {Area~of~a~rectangle=l×b}$

$\mathtt {\mapsto (2x+8)(3x-5)}$

$\mathtt {\mapsto2x(3x-5)+8(3x-5)}$

$\mathtt {\mapsto2x(3x-5)+8(3x-5)}$

$\mathtt {\mapsto 6x²-10x+24x-40}$

$\mathtt {\mapsto 6x²+14x-40}$

Therefore, the area of the field is (6x²+14x-40)unit²

Must know

★ A four sided shape bounded by two pairs of equal length is called a rectangle.

★ Area of a rectangle = length×breadth

★ Perimeter of a rectangle =2(l+b)

Answer 2

$answer \:$

➡ Dimension = 2x + 8 by 3x - 5

➡Let the length be 2x + 8

➡And the breadth be 3x - 5

We know

Area of a rectangle = Length × Breadth

➡ ( 2x + 8) ( 3x - 5)

➡ 2x (3x - 5) + 8 (3x - 5)

➡$6x {}^{2} - 10x + 24x - 40 \\ ➡6x {}^{2} + 14x - 40$

Hence, $the \: area \: \: of \: the \: field \: is \:( 6x {}^{2} + 14x - 40).$