Question

the length and breadth of a rectangle piece of land are in the ratio are in the ratio 5:3 . if the total cost of fencing at rupees 7 per metre is rupees 2800 , find the area of the plot​

Answer 1

Answer:

Area of the plot = 9375 cm ^2

Step-by-step explanation:

Given ratio

Length = 5x

Breadth = 3x

Perimeter = 2 ( l + b )

= 2 ( 8x)

= 16x

Given that

Fencing the Perimeter costs 2800

At Rs 7 per meter

Therefore

16x * 7 = 2800

x = 2800/ 112

x = 25

Now length = 5(25) = 125

Breadth = 3(25) = 75

Area of the rectangular plot = l * b

= 125 * 75

= 9375 cm^2

Answer 2

Answer:

• The area of the rectangular plot is 9375 sq.unit

G I V E N :

• The length and breadth of a rectangle piece of land are in the ratio are in the ratio 5:3 . if the total cost of fencing at rupees 7 per metre is rupees 2800.

T O F I N D :

• The area of rectangular plot = ?

S O L U T I O N :

• Ratio of Length and Breadth of rectangle = 5:3
• Rate of fencing = Rs. 7 per m
• Cost of fencing = Rs. 2800

Let Length be 5x and Breadth be 3x

According to Question now :

→ Cost of fencing = Perimeter × Rate of fencing

→ 2800 = 2(Length + Breadth) × 7

→ 2800 = 2(5x + 3x) × 7

→ 2800 ÷ 7 = 2(8x)

→ 400 = 16x

→ x = 400 ÷ 16

→ x = 25

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• D I M E N S I O N S :

• Length of rectangular plot = 5x = 5(25) = 125 unit

• Breadth of rectangular plot = 3x = 3(25) = 75 unit

Therefore, Length and Breadth of rectangular plot is 125 and 75 units respectively.

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• AREA OF RECTANGLE :

➻ Area of rectangle = Length × Breadth

➻ Area of rectangle = 125 × 75

➻ Area of rectangle = 9375 sq. unit

Hence,area of rectangular plot is 9375 sq. unit.

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