Question

length of a rectangle exceeds its breadth by 4 metres if the perimeter of the rectangle is 84 find the length and breadth​

Answer 1

Answer:

• Length = 23 units
• Breadth = 19 units

Explanation:

Given that,

Length of a rectangle is 4 more than its breadth

And its perimeter is 84 units.

We need to find the length and breadth.

If we assume the breadth as x

Then, the length will be (x + 4)

We know,

Perimeter of a rectangle = 2(l + b)

Where l denotes the length and b is the breadth.

According to the question,

⇒ 2(l + b) = 84

⇒ 2(x + 4 + x) = 84

⇒ 2(2x + 4) = 84

⇒ 4x + 8 = 84

⇒ 4x = 84 - 8

⇒ 4x = 76

⇒ x = 76/4

⇒ x = 19

Hence, the dimensions of the rectangle is :-

• Length = x + 4 = 19 + 4 = 23 units
• Breadth = x = 19 units

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Note:

Perimeter of a rectangle = 2(l + b)

Where, ‘l’ is length and ‘b’ is breadth