Question

The length of a rectangular field is 8 meters more than 5 times the breadth of the field.

What is the length of field, if breadth is ‘b’ meters?​

Answer 1

• As per data given in the question, The length of field is 8 meters more than 5 times the breadth of the field.

Let the length of field be $x.$

and breadth of the field be $y.$

According to the question,

The length of field is 8 meters more than 5 times the breadth of the field.

we can write,

$L=5b+8$

$5b=l-8$.

We know that,

the perimeter of a rectangle is (assume) $56metres.$

We apply the formula of perimeter of triangle,

$2(l+b)=56$

$2(5b+8+b)=56$

$2(6b+8)=56$

$12b+16=56\\12b=56-16\\12b=40\\b=\frac{40}{12}\\\\b=\frac{10}{3}meteres.$

$L=5b+8\\=5\times \frac{10}{3}+8\\=\frac{50}{3}+8 \\=\frac{74}{3}.$

so, length of field will be 74/3 metres.

Answer 2

Here, the relation between the length and breadth of the field is given.

so, according to the relation the length is 8 meters more than 5 times the breadth, which can be written as

Length = 5 × breadth + 8

Now it is given that the breadth is 'b' meters.

so, Length = 5b + 8

Length of the rectangular field will be 5b + 8