Question

The length of a rectangle is 5 metres less than twice the breadth. if the perimeter is 50 metres find the length and breadth of the rectangle​

Answer 1

✬ The length of the rectangle is 15 metres and the breadth of the rectangle is 10 metres ✬

Step-by-step explanation:

Given: The length of a rectangle is 5 metres less than twice the breadth and the perimeter is 50 metres.

To find: Length and breadth of the rectangle

Required formula:

• Perimeter of rectangle = 2(l + b)

❍ Let the breadth be x metres and the length be 2x - 5 metres respectively.

Then,

$\\ :\implies\sf{50 = 2 (2x - 5 + x )} \\ \\ :\implies\sf{50 =2(3x - 5) } \\ \\ :\implies\sf{50 = 6x - 10} \\ \\ :\implies\sf{50 + 10 = 6x} \\ \\ :\implies\sf{60 = 6x} \\ \\ :\implies\sf{x = \cancel{\frac{60}{6}}} \\ \\ :\implies \underline {\boxed{\frak{x = 10}}} \: \red{ \bigstar}$

Therefore,

• Breadth = x = 10 metres
• Length = 2x - 5 = 2(10) - 5 = 20 - 5 = 15 metres

Answer 2

Answer:

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