Question

the length of park is 8 metre more than it breadth . if area of park is 240 m^2 then find length and breadth of park​

Answer 1

Answer:

Length = 20 m , Breadth = 12 m

Step-by-step explanation:

Define x:

Let the breadth be x m

The length will be (x + 8) m

Solve x:

Area = Length x Breadth

Given that the area is 240 m²

x(x + 8) = 240

x² + 8x = 240

x² + 8x - 240 = 0

(x - 12 )(x + 20) = 0

x = 12 or x = -20 (rejected, since length cannot be negative)

Find the length and breadth:

Breadth = x = 12 m

Length = x + 8 = 12 + 8 = 20 m

Answer: Length = 20 m and Breadth - 12 m

Answer 2

$\underline{\underline{\mathfrak{\Large{Solution : }}}}\\ \\ \sf\:Area \:of \:park \: = x × (x + 8) = 240 \\ \\ \sf\implies\: x^2 + 8x - 240 = 0 \\ \\ \sf\implies\: x^2 + 20x - 12x - 240 = 0 \\ \\ \sf\implies\:(x - 12)(x + 20) = 0 \\ \\ \: \: \: \: \: \: \:\large{\boxed {\sf { x \:= \:12 }}} \\ \\ \sf\:Breadth \:of\:park\: = \: 12 m \\ \\ \sf\: Length\: of\: park \: = 12 + 8 = 20 m$