Question

(a) The length of a rectangle is 5 more than its breadth and its perimeter is 250m.​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

The length of a rectangle is 5 more than its breadth and its perimeter is 250m.​

To Find,

The length and breadth of the rectangle =?

Solution,

We can solve the question as follows:

It is given that the length of a rectangle is 5 more than its breadth and its perimeter is 250m.​ We have to find the length and the breadth.

$Perimeter = 250\: m$

Let the length of the rectangle be l and the breadth be b.

$Length = l$

$Breadth = b$

According to the question, the length is 5 more than the breadth.

$l = b + 5$      ----------- (1)

Now,

The formula for the perimeter of a rectangle is given as:

$Perimeter = 2(Length + Breadth)$

Substituting the values in the above formula,

$250 = 2(l + b)$

From equation (1),

$250 = 2(b + 5 + b)$

$250 = 2(2b + 5)$

$250 = 4b + 10$

$250 - 10 = 4b$

$240 = 4b$

$b = \frac{240}{4}$

$b = 60\: m$

Now, the length will be,

$l = b + 5 = 60 + 5 = 65 m$

Hence, the length and the breadth are equal to 65 m and 60 m respectively.