Question

The length and breadth of a rectangular field are
in the ratio 8:3. If perimeter of the field it 440 m,
then find its length.​

Answer 1

Answer:

It is given that,

Perimeter of rectangular field = 440 m.

Consider 7x as the length and 4x as the breadth of rectangular field.

So we get,

2(l+b) = Perimeter.

Substituting the values,

2(7x+4x)=440

By further calculation,

2(11x)=440

22x=440

So we get,

x=440/22=11 m.

Here,

Length = 7x=7∗11=77 m.

Breadth = 4x=4∗11=44 m.

We know that,

Cost of fencing = ₹150 per m.

So the cost of fencing 440 m = 150∗440 = ₹ 66,000.

Answer 2

PROVIDED:-

The length and breadth of a rectangular field are in the ratio 8:3. If perimeter of the field it 440 m, then find its length.

FIND:-

• length and breadth.

GIVEN:-

$\huge{\bold\blue{•}}$ The ratio of length and breadth.

$\huge{\bold\blue{•}}$ Perimeter = 440m.

$\underline{\underline\bold\orange{let's \: solve \: it}}$

$\huge{\bold\pink{⇝}}$ let the length and breadth of the rectangular field be 8x and 3x respectively.

${\bold\pink{➥}}$ Perimeter = 2× (8x + 3x)

${\bold\pink{➥}}$ 440m = 2 × 11x

${\bold\pink{➥}}$11x = $\huge\frac{440}{2}$

${\bold\pink{➥}}$11x = 220

${\bold\pink{➥}}$x = $\huge\frac{220}{11}$

$\huge{\bold\green{➥}}$ x = 20m

${\bold\blue{Therefore,}}$

${\bold\red{⇒}}$ Length = 8x = 8 × 20 = 160m

${\bold\red{⇒}}$ Breadth = 3x = 3 × 20 = 60m