Question

hey! if the area of the rectangle is 460 sq mtrs.if length is 15% more than breadth, then what is the breadth ?

Answer 1

hey!

here is your answer >>>

area ( Lenght * breadth) = 460

Let us take breadth as X ,

Then length will be , (15/100)x + x

=> (3x/20) + x

=> 23x/20 = length,

now,

(23x/20)(x) = 460

(23)x^2 = 460(20)

x^2 = (460*20)/23

x^2 = 20*20

x^2 = 400

x = √400

x = 20 meters!

Breadth is 20 meters,

length = (23*20)/20

=> 23 meters!

Hope my answer helps!✌️

Answer 2

Hi there !!
Here's your answer

Given that ,
The length of the rectangle is 15% more than it's breadth
Let the breadth be x

$length \: = x + 15\% \: of \: x$

$length \: = x + \frac{15x}{100} \\ = x + \frac{3x}{20}$


$length \: = \frac{23x}{20}$
Area of rectangle = length × Breadth


$460 = \frac{23x}{20} \times x$


$460 = \frac{23x {}^{2} }{20}$

$\frac{460 \times 20}{23} = {x}^{2}$

x² = 400

x = ✓400
x = 20

So,
the breadth is 20 metres