Question

lenght of a rectangke is 3 times of is breadth.if its perimeter is 80m find the length​

Answer 1

Answer:

• 30 metres is the required answer .

Step-by-step explanation:

According to the Question

It is given that,

• Length of Rectangle is 3 times is its breadth
• Perimeter of Rectangle is 80m

we have to find the length

Let the breadth be x

then, length will be 3x

Now, according to the given statement

Perimeter of Rectangle = 2(Length+breadth)

by putting the value we get

→ 2(x + 3x) = 80

→ 2(4x) = 80

→ 8x = 80

→ x = 80/8

→ x = 10

So, the length = 3x = 3×10 = 30m

• Hence, the length is 30 m

Answer 2

❒ Appropriate Question :

Length of a rectangle is 3 times of is Breadth. If its perimeter is 80m. Find the length ?

$\:$

❒ Solution :

Length of the Rectangle is 30m.

$\:$

Step-by-step Explanation :

★ Given :

Length of a rectangle is 3 times of is Breadth.

And the Perimeter is 80m.

$\:$

★ To Find :

The length of the Rectangle ?

$\:$

★ Used Formula :

$\large\bf \red⇝ \: Perimeter \: _{(Rectangle)} \: = \: 2( L+B)$

Where,

• L = Length
• B = Breadth

$\:$

★ Explanation :

Length of a rectangle is 3 times of is Breadth.

Let,

• Length = 3x
• Breadth = x

Perimeter is 80m

We know that,

$\bf \implies \: Perimeter \: _{(Rectangle)} \: = \: 2( L+B)$

Now,

$\sf \implies \: 80m \: = \: 2( 3x+x)$

$\sf \implies \: 80m \: = \: 2( 4x)$

$\sf \implies \: 80m \: = \: 8x$

$\displaystyle\sf \implies \: \cancel\frac{80}{8} \: = \: x$

$\textbf{ \textsf{ \red{⟹ \: \: \large \underline{\boxed{ \textbf{ \textsf{x = 10}}}}}}}$

∴ Breadth = x = 10m

∴ Length = 3x = 30m

Hence,

❝ The length of the rectangle is 30m. ❞

$\:$

★ Verification :

Length of a rectangle is 3 times of is Breadth.

Substitute 10 in the place of x

Let,

• Length = 3(10) = 30
• Breadth = x = 10

Perimeter is 80m

Now,

$\bf \implies \: Perimeter \: _{(Rectangle)} \: = \: 2( L+B)$

$\sf \implies \: 80m \: = \: 2( 3(10)+(10))$

$\sf \implies \: 80m \: = \: 2( 30+10)$

$\sf \implies \: 80m \: = \: 2(40)$

$\bf \implies \: 80m \: = 80m$

L.H.S = R.H.S

∵ Hence verified !!

$\:$