Question

the length of a rectangle plot is 8m greater then its breadth if the area of the plot is 308m², find the length and the breadth of the plot​

Answer 1

Given :-

• The length of a rectangle plot is 8m greater then its breadth if the area of the plot is 308m²

To find :-

• Length and breadth of plot.

Solution :-

• Area of plot = 308 m²

As we know that

Area of rectangle = l × b

Where " l " is length and " b " is breadth of rectangle.

According to the question

Let the breadth be x then its length be (x + 8)

→ x × (x + 8) = 308

→ x² + 8x = 308

→ x² + 8x - 308 = 0

Split middle term

→ x² - 22x + 14x - 308 = 0

→ x(x - 22) + 14(x - 22) = 0

→ (x - 22)(x + 14) = 0

Either

→ x - 22 = 0

→ x = 22

Or

→ x + 14 = 0

→ x = - 14

• Length and breadth never be in negative

Therefore,

• Length of plot = x + 8 = 30cm

• Breadth of plot = x = 22cm

Answer 2

₲łven :-

• The Length of a rectangke plot is 8m greater than its Breadth.

• Area of the plot = 308 sq meters.

₮o Find :-

• The Length and the Breadth Of the Rectangular Plot.

₴olution :-

A Rectangular plot is given with area = 308 sq meters.

We Know that :-

→ Area = L * B where 'l' is the Length and B for Breadth

Let x be the Breadth of the rectangular plot and (x+8) be the length of the rectangular plot.

Breadth *Length = 308

• x (x+8) = 308

• x2+8x = 308

Hence x2- 8x - 308 = 0

Spliting the middle term of the equation.

• x2 - 22x + 14x- 308 = 0

• x(x-22)+14(x-22) = 0

• (x - 22 ) ( x+14 ) = 0

The Answer may be either

x - 22 = 0

x = 22

Or

x + 14 = 0

x =-14

• ★Breadth and length can't be negative.

Hence 22 is the appropriate answer.

Breadth. = x = 22cm

Length = x+8 = 30cm

$\bold{ \red{★Length = 30cm}{} }{} \\ \\ \bold{ \red{★Breadth = 22cm}{} }{}$