Question

The length and breath of rectangular garden are in ratio 7:3 . If the area of field is 525 meter square , then find the cost of fencing it at ₹ 75 per m

Answer 1

let the coefficient of ratios be x.
area of rectangle =length X breadth.
525 = 7 x X 3 x.
21x² = 525.
x² = 525 / 21.
x² = 25.
x = √25.
x = 5.
length of rectangular Garden = 7 x 5.
breath of rectangular Garden = 3 x 5.
length = 35 metres.
breadth = 15 metres.
perimeter of rectangular Garden =2 (l + b)
perimeter =2 (35 + 15)
perimeter = 2 X 50 that is 100 metres.
cost of 1 M fencing = 75 rupees.
cost of 100 M fencing = 75 x 100.
total cost = 7500 rupees.
PLEASE MARK IT AS A BRAINLIEST ANSWER.

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 :-

$\sf \longrightarrow 100 \times 75$

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

Therefore,

Cost of fencing is 7500.