Question

The length of a rectangular plot is 40 more than the breadth and the perimeter of the plot is 92 m, find the dimensions of the plot.

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Answer 1

Answer:

The dimensions of the plot is :

• length = 43 metres.
• breadth = 40 metres.

Explanation:

Given that,

The length of a rectangular plot is 40 more than it's breadth. The perimeter of the plot is 92 metres.

Here, the plot is rectangle-shaped. The dimensions are such that, the length is 40+ it's breadth and also, it's perimeter is 92metres. So, we need to find the dimensions of the plot.

Step 1 :

If we assume the breadth as ‘x’ metres.

Then, it's length will be (x + 40) metres.

Step 2 :

• As the plot is rectangle-shaped.

We know that,

Perimeter of rectangle = 2(l + b)

• l (length) = (x + 40)
• b (breadth) = ‘x’

So, Perimeter of the rectangle :

→ 2(x + x + 40)

→ 2(2x + 40)

→ 4x + 80

But, perimeter is 92 metres. (given)

Again,

→ 92 = 4x + 80

→ 92 - 80 = 4x

→ 12 = 4x

→ 12/4 = x

→ 3 = x

∴ The breadth is 3 metres

And also, Length will be 43 metres ✔