Question

The length and breadth of a rectangular graden is in the ratio 4 :3.If the area is 7500m^2,find the cost of fencing the garden at the rate of rupees6 per metre

Answer 1

SOLUTION

Area =L×b
L=4y. L=4(5)
b=3y =20
Area =4y×3y
7500=12y^2. b=3(5)
y^2=625. =15
= 5^2
y=5
perimeter=2(L+b)
= 2(20+15)
=2(35)
=70m
Cost=70(6)
=420
COST = $420

Answer 2

$\huge\red{Answer\: is}$

Let the length and breadth of a rectangular garden is 4x and 3x

Area = length x breadth
$7500 = 4x \times 3x \\ 7500 = 12x {}^{2} \\ x {}^{2} = \frac{7500}{12} \\ x {}^{2} = 625 \\ x = \sqrt{625} \\ x = 25 \\ so \: length \: = 4 \times 25 = 100m \\ breadth \: = 3 \times 25 = 75m$
Now
Perimeter of rectangular garden is=
$= 2(l + b) \\ = 2(100 + 75) \\ = 2 \times 175 \\ = 350m$
Fencing rate is Rs 6 per m

Cost of fencing the garden is
$= 6 \times 350 \\ = 2100 \: rupees$
Hope it helps you