Question

What is the breadth of the garden if Its perimeter is 250 m and length is 5m, more than twice its breadth

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Answer 1

Answer:

Step-by-step explanation:

Let the breadth of rectangular swimming pool be x metres.  

Then, its length =(2x+2) metres.

We know that the Perimeter of a rectangle =2(Length+Breadth)

=2(2x+2+x)=6x+4

According to the given condition, we have  

6x+4=154

⇒6x=154−4           ..[By transposing 4 to RHS]

⇒6x=150

⇒  

6

x

​

=  

6

150

​

         ...[Dividing both sides by 6]

⇒x=25  

Thus, breadth =25 m and length =25×2+2=52 m

Answer 2

Step-by-step explanation:

Given:-

Perimeter = 250 m

Let the breadth of the garden (B) = x

So, Acc. to Ques

Length (L) = 2x + 5 m

We know, Perimeter of rectangle = 2(L + B)

Put value of L and B in 2( L +B )

2(L + B) → 250 m

$2(2x + 5 + x) = 250$

$2(3x + 5) = 250$

$6x + 10 = 250$

$6x = 250 - 10$

$6x = 240$

$x = \frac{240}{6}$

$x = 40$

So,

Breadth = x = 40 m

Length = 2x+5 = 2(40)+45

= 80+4 → 85

$\huge\text\red{Breadth = 40 m}$

$\huge\text\green{Length = 85 m}$