Question

the length of a rectangular plot exceeds it's breadth byb10m the perimeter of such a plot is 140m form the linear equation in one variable to find the dimension of the plot​

Answer 1

Given :-

• The length of a rectangular plot exceeds it's breadth by 10m the perimeter of such a plot is 140m form the linear equation in one variable

To find :-

• Dimension of the plot

Solution :-

Let the breadth be x then length be (x + 10)

• Perimeter of rectangular plot = 140m

As we know that

Perimeter of rectangle = 2(l + b)

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

According to question

→ Perimeter of rectangle = 140

→ 2(l + b) = 140

Put the value of length and breadth

→ 2(x + 10 + x) = 140

→ 2x + 10 = 140/2

→ 2x + 10 = 70

→ 2x = 70 - 10

→ 2x = 60

→ x = 60/2

→ x = 30

Hence,

• Length of rectangular plot = x + 10 = 40m

• Breadth of rectangular plot = x = 30m

Verification :-

• Perimeter of rectangular plot = 140m

LHS = Perimeter of rectangle

→ 2(l + b)

→ 2(40 + 30)

→ 2 × 70

→ 140 = RHS verified

Extra Information

• Area of circle = πr²
• Circumference of circle = 2πr
• Perimeter of rectangle =2(l + b)
• Perimeter of square = 4 × side
• Area of square = side × side
• Area of rhombus = ½ × product of diagonals
• Area of Parallelogram = base × height
• Area of trapezium = ½ × sum of parallel sides × height