Question

18. Ram bought a rectangular piece of land and he wanted to fence the land in order to prevent from animals entering and destroying the field. He knows that the perimeter of the field is 60 cm and the length of the field is two times its breadth. Can you help him to find the values of length and breadth (1) If the breadth is 'x'cm, what is the length of the field? х (a) x + 2 (b) x - 2 (c) 2x (d) (ii) Ram wanted to form an equation to represent the perimeter of the field. The correct equation is (a) x + 2x = 60 (b) x x 2x = 60 (c) 2(2x + x) = 60 (d) 2x - x = 60 (111) What is the exact measurement of breadth of the field? (a) 20 cm (b) 10 cm (c) 15 cm (d) 30 cm (iv) What is the measurement of the length of the field? (a) 20 cm (b) 10 cm (c) 15 cm (d) 30 cm​

Answer 1

Answer:

If A B ore tree paite ow on live such that ab 5cm ba 3an and ac sem lavich ane of the lis bevuer other two

Answer 2

Answer:

(1) If the breadth is 'x'cm, the length of the field will be $'2x'$ cm.

(2) An equation to represent the perimeter of the field =   $2(2x+x)=60$

(3) The exact measurement of breadth of the field = $10$ cm

(4) The measurement of the length of the field = $20$ cm

Step-by-step explanation:

Given : Perimeter of rectangular field = $60$ cm

          The length of the field is two times its breadth.

To find : The values of length and breadth

           (1) If the breadth is 'x'cm, what is the length of the field?

           (2) An equation to represent the perimeter of the field.

           (3) What is the exact measurement of breadth of the field?

            (4) What is the measurement of the length of the field?  

Solution :

It is given that in a rectangular field, the length of the field is two times its breadth.

Let, the breadth of a rectangular field be $x$ cm and

           length of a field be $2x$ cm.

(1) If the breadth is 'x'cm, the length of the field will be $'2x'$ cm.

(2) An equation to represent the perimeter of the field.

          Perimeter of rectangular field = $60$ cm

          The length of the field is two times its breadth.

   ∴ The equation becomes,

       $2(length+breadth) = Perimeter$

                   ∴  $2(2x+x)=60$

(3) The exact measurement of breadth of the field

      To find breadth, we have to simplify the above equation.

                  ∴  $2(2x+x)=60$

                        ∴ $4x+2x=60$

                              ∴ $6x=60$

                                ∴ $x = \frac{60}{6}$

                                ∴ $x = 10$ cm.

∴   Exact measurement of breadth of the field = $10$ cm.

(4) The measurement of the length of the field

 It is given that the length of the field is two times its breadth.

              ∴ Length = $2* breadth$

                            $=2*10$

                            $= 20$ cm

∴ The measurement of the length of the field = $20$ cm