Question

The perimeter of a rectangle is 240 cm and it's length and breadth are in ratio 5 : 3. Find the area of the square​

Answer 1

Correct Question:

The perimeter of a rectangle is 240 cm and its length and breadth are in ratio 5 : 3. Find the area of the rectangle.

Answer:

3375 cm² is the area of the rectangle.

Explanation:

Given

• The given shape is a rectangle.
• Perimeter of the shape is 240 cm.
• The length and breadth are in ratio 5 : 3.

To Find

• The area of the rectangle.

Solution

Let "x" be the common factor between the sides.

So,

• Length of the rectangle = 5x
• Breath of the rectangle = 3x

Perimeter of a rectangle = 2( length + Breath )

⇛ 240cm = 2( 5x + 3x )

⇛ 240cm = 2( 8x )

⇛ 240cm = 16x

⇛ 240cm/16 = x

⇛ 15cm = x

Length = 5x = 5(15cm) = 75cm

Breath = 3x = 3(15cm) = 45cm

Area of a rectangle = Length × Breath

Area = 75cm × 45cm

Area = 3375 cm²

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Answer 2

Correct Question :-

• The perimeter of a rectangle is 240 cm and it's length and breadth are in ratio 5 : 3. Find the area of the Rectangle.

Given :-

• Ratio of Length and Breadth = 5:3
• Perimeter of the Rectangle = 240cm

To Find :-

• What is the Area of Rectangle ?

Solution :-

• Firstly we will find the value of Length and Breadth then we will apply the Formula of Area of Rectangle .

Let the Length be 5x

Let the Breadth be 4x

${:} \longrightarrow \sf\boxed{\bf{Perimeter_{(Rectangle)} \: = \: 2(Length \: + \: Breadth) }}$

${:} \longrightarrow \sf{\sf{240 \: = \: 2(5x \: + \: 4x) }}$

${:} \longrightarrow \sf{\sf{240 \: = \: 2\: \times \: 8x }}$

${:} \longrightarrow \sf{\sf{240 \: = \: 16x}}$

${:} \longrightarrow \sf{\sf{\cancel\dfrac{240}{16} \: = \: x}}$

${:} \longrightarrow \sf{\bf{15 \: = \: x}}$

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Length = 5x = 5 × 15 = 75cm

Breadth = 3x = 3 × 15 = 45cm

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$\longmapsto \sf\boxed{\bf{Area_{(Rectangle)} \: = \: Length \: \times \: Breadth }}$

$\longmapsto \sf{\sf{Area_{(Rectangle)} \: = \: 75 \: \times \: 45 }}$

$\longmapsto \sf{\bf{Area_{(Rectangle)} \: = \:3375cm^{2} }}$

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So, Area of Rectangle is $\sf 3375cm^{2}$

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