Question

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
(i) If the breadth is ‘x’ cm, what is the length of the field?
(a) x + 2 (b) x – 2 (c) 2x (d)
2
(ii) Ram wanted to form an equation to represent the perimeter of the field. The correct equation is ---
(a) x + 2x = 60 (b) x × 2x = 60 (c) 2(2x + x) = 60 (d) 2x – x = 60
(iii) 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:

i) c.2x

Step-by-step explanation:

i) as the length is 2 times breadth and breadth is x

length=2*breadth

length=2*x

length=2x

Answer 2

SOLUTION

GIVEN

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.

TO CHOOSE THE CORRECT OPTION

(i) If the breadth is ‘x’ cm, what is the length of the field?

(a) x + 2

(b) x – 2

(c) 2x

(d) 2

(ii) Ram wanted to form an equation to represent the perimeter of the field. The correct equation is ---

(a) x + 2x = 60

(b) x × 2x = 60

(c) 2(2x + x) = 60

(d) 2x – x = 60

(iii) 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

EVALUATION

(i) Breadth = x cm

Since length of the field is two times its breadth

Length = 2 × x = 2x cm

Hence the correct option is (c) 2x

(ii) The perimeter of the field

= 2 ( Length + Breadth )

= 2 ( 2x + x )

By the given condition

2(2x + x) = 60

Hence the correct option is (c) 2(2x + x) = 60

(iii) 2(2x + x) = 60

⇒ 2 × 3x = 60

⇒ 6x = 60

⇒ x = 10

So the exact measurement of breadth of the field = 10 cm

Hence the correct option is (b) 10 cm

(iv) The measurement of the length of the field

= 2 × The measurement of breadth of the field

= 2 × 10 cm

= 20 cm

Hence the correct option is (a) 20 cm

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