Question

27. The length of a rectangular field is twice its breadth. If the perimeter of the field is 150
metres, find its length and breadth.​

Answer 1

Answer:

BREADTH= 25m

LENGTH = 50m

Step-by-step explanation:

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Answer 2

$\huge{\red{\underline{\mathfrak{ANSWER:}}}}$

• Length of field = 50 m.
• Breadth of field = 25 m.

$\huge{\red{\underline{\mathfrak{Step\;By\;Step\;Explanation:}}}}$

✦ Given:

• Length of rectangle field is twice its breadth.
• Perimeter of field = 150 m

✦ To Find:

• Length and breadth of field.

✦ Formula used:

• Perimeter of rectangle = 2(L + B)

$\rule{100}{1}$

✦ Solution:

Let, Breadth of rectangle be 'L meters'.

then, length of rectangle be '2L meters'.

Now, put the values of length and breadth in perimeter's formula.

⇒ Perimeter of rectangle = 2(L + B)

⇒ 150 = 2(2L + L)

⇒ 150 = 2(3L)

⇒ 150 = 6L

⇒ L = 150/6

⇒ L = 25 m.

Hence, Breadth of field = 25 m.

Since, length is twice the breadth.

So, length of field = 2 × 25 = 50 m.

✦ Verification:

To verify the answer, we have to put values in the formula,

⇒ Perimeter of field = 2(L + B)

⇒ 150 = 2(25 + 50)

⇒ 150 = 2(75)

⇒ 150 = 150

Hence Verified!!