Question

The length of a rectangle plot is 5 times its breadth if the perimeter of the pot is 120 m from the linear equation in one variable to find the dimension of the plot​

Answer 1

Given :-

• The length of a rectangle plot is 5 times its breadth if the perimeter of the pot is 120 m from the linear equation in one variable

To find :-

• Dimensions of the plot

Solution :-

Let the breadth of rectangle be x then its length be 5x

• Perimeter of rectangle = 120m

As we know that

→ Perimeter of rectangle = 2(l + b)

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

According to question

→ Perimeter of rectangle = 120

→ 2(l + b) = 120

Put the value of length and breadth

→ 2(2x + x) = 120

→ 2x + x = 120/2

→ 3x = 60

→ x = 60/3

→ x = 20

Hence,

• Length of rectangle = 2x = 40m

• Breadth of rectangle = x = 20m

Verification :-

• Perimeter of rectangle = 120

LHS = 2(l + b)

→ 2(40 + 20)

→ 2 × 60

→ 120m = RHS verified

More to know :-

• Area of circle = πr²

• Circumference of circle = 2πr

• Area of rectangle = l × b

• Perimeter of square = 4 × side

• Area of square = side × side