Question

given length of the rectangle is three times its breadth if the perimeter is 32 cm find length and breadth ​

Answer 1

Answer:

$\boxed{\boxed{\mathtt{Length = 12cm \: Breadth = 4cm}}}$

Step-by-step Explanation:

Given

• Length of the rectangle is three times its breadth.

• And perimeter = 32cm

To Find

• Measure of length and breath.

Solution

Now according to question

Length of the rectangle is three times its breadth.

therefore, let

$\implies \textsf{Breadth of rectangle = X}$

Thus,

$\implies \textsf{Length of rectangle = 3x}$

Now we know that

$\boxed{\boxed{\bigstar \: \mathtt{Perimeter \: of \: Rectangle \: (p) = 2(Length + Breadth)}}}$

Therefore we have

$\implies \textsf{2(Length + Breadth) = 32cm}$

*Now putting values of assumed length and breadth we have *

$\implies \mathsf{2(3x + x) = 32cm}$

$\longrightarrow \mathsf{8x = 32cm}$

$\longrightarrow \mathsf{x = \dfrac{32}{8}cm}$

$\longrightarrow \mathsf{x = 4cm}$

Thus we have,

$\implies \mathtt{Breadth = x = 4cm}$

$\implies \mathtt{Length = 3x = 3(4) = 12cm}$

Therefore Required answer,

$\underline{\boxed{\mathtt{Length = 12cm \: Breadth = 4cm}}}$

Answer 2

Answer:

Ans is Length= 12 & breadth= 4

Step-by-step explanation:

Length of the rectangle is three times its breadth.

∴ Let, the breadth be x cm , then length 3x cm.

Given, perimeter is 32 cm.

We know, perimeter. = 2 ( length + breadth )

Hence, 2 (3x + x) = 32

or, 4 x = 16 ⇒x=4

Therefore, breadth is 4 cm. and length is 12 cm.