Question

the length and breadth of a rectangular garden are in the ratio
7:3. if the area of the field is 525m^,then find the cost of fencing it at rs75 per m.

Answer 1

The length of rectangular garden =7x & breadth =3x
Area of rectangular garden =length × breadth
525 = 7x × 3x
525 = 21x
x = 25
length = 7 × 25 = 175
& breadth = 3 × 25 = 75
Now
Perimeter of rectangular garden = 2(length + breadth)
2(175 + 75)
= 2 × 250
= 500 m
cost of fencing = RS 75 per m
Therefore
cost of fencing = 500 × 75 = RS 37500

Answer 2

Answer:

Cost of fencing is 7500.

Step-by-step explanation:

Given :-

Length and breadth of a rectangular garden are in ratio 7:3.

Area of rectangular garden is 525 m².

To find :-

Cost of fencing of garden.

Solution :-

Let, Length of rectangular field be 7x.

And, Breadth of rectangular field be 3x.

First we will find, Dimensions of rectangular garden for finding fence of garden.

So,

Area of rectangle = Length × Breadth

So,

$\sf \longrightarrow 525 = 7x \times 3x$

$\sf \longrightarrow 525 = 21 x^{2}$

$\sf \longrightarrow \cancel{ \dfrac{525}{21} } = x^{2}$

$\sf \longrightarrow 25 = x^{2}$

$\sf \longrightarrow \sqrt{25} = x$

$\longrightarrow \boxed{\sf x = 5}$

Dimensions :-

• Length = 7x = 7 × 5 = 35 m

• Breadth = 3x = 3 × 5 = 15 m

Perimeter of rectangle = 2(length + breadth)

So,

$\sf \longrightarrow 2 \times (35 + 15)$

$\sf \longrightarrow 70 + 30$

$\sf \longrightarrow \boxed{ \bold{100}}$

Perimeter of garden is 100 m.

We know, Fence and perimeter are same.

So, Total fence of rectangular garden is 100 m.

• 1 m = 75

For 100 m :-

$\sf \longrightarrow 100 \times 75$

$\sf \longrightarrow \purple{\boxed{\bold{7500}}\star}$

Therefore,

Cost of fencing is 7500.