Question

*If the perimeter of a rectangle having sides in a ratio 3:2 is 80 cm ,then find the length of the rectangle.* 1️⃣ 30 cm 2️⃣ 48 cm 3️⃣ 24 cm 4️⃣ 32 cm​

Answer 1

Hey mate here is your answer ❤️⏬

Given :

• Perimeter Of Rectangle = 80 cm
• Their Sides Ratio = 3 : 2

To Find :

• Find The Length Of The Rectangle.

Answer :

• (3) 24 cm

Step-By-Step Explanation :

$\longrightarrow$ Now, Here we have ratio of sides 3 : 2.

$\longrightarrow$ So, Let open the ratio and put any assume number k.

$\longrightarrow$ Now, we can write tha Ratio like this,

$\longrightarrow$ 3k and 2k

Now,

• Length = 3k
• breadth = 2k

$\longrightarrow$ Perimeter of rectangle = 80 cm

it's all given in question ⤴️

Now, we have put these values in formula,

• Perimeter of rectangle = 2 (L + b)

• 80 = 2 ((3k) + (2k))

• 80 = 2 ( 5k )

• $\sf \frac{80}{2} = 5k$

• $\sf \frac{\cancel{80}^{\: \: 40×\cancel2}}{\cancel2} = 5k$

• $\sf \frac{40}{5} = k$

• $\sf \frac{\cancel{40}^{\: \: 8 × \cancel5} }{\cancel5} = k$

$\longrightarrow$ Hence, k = 8

$\longrightarrow$ Now, For length and breadth

_______________________

Length = 3k

Length = 3(8)

Length = 24

_______________________

Breadth = 2k

Breadth = 2(8)

Breadth = 16

_______________________

Hence, Length = 24 cm

I hope it helps you ❤️✔️

Answer 2

Concept:

Rectangle area in geometry refers to the area that a rectangle occupies on a two-dimensional plane. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram likewise has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

Perimeter of rectangle = 2 (L + b)

Area of rectangle =length x breadth

Given :

Perimeter Of Rectangle = 80 cm

Their Sides Ratio = 3 : 2

Find :

Find The Length Of The Rectangle.

Answer:

(3) 24 cm

Solution:

Now, Here we have ratio of sides 3 : 2.

So, Let open the ratio and put any assume number k.

Now, we can write tha Ratio like this,  3k and 2k

Now,

Length = 3k

breadth = 2k

Perimeter of rectangle = 80 cm

Perimeter of rectangle = 2 (L + b)

As per question,

⇒80 = 2 ((3k) + (2k))

⇒80 = 2 ( 5k )

⇒80=10k

⇒k=8

Therefore, length =3 x 8 =24 cm

                  breadth=2 x 8 =16 cm

Therefore, the answer is C 24 cm

#SPJ3