Question

The breadth and length of a rectangular field are in the ratio 5:7. If the perimeter of the field is 96 m, find the length of the field.

Answer 1

Answer:

cost of reaping the field = Rs. 11200

Step-by-step explanation:

Let length = 7x

Let breadth = 5x

Therefore, perimeter = 2( l + b )

2(7x + 5x) = 384m

2 * 12x = 384m

24x = 384m

x = 384m/24 = 16m

Length = 7 * 16 = 112m

Breadth = 5 * 16 = 80m

Area = lb

112m * 80m = 8960m^2

Cost of reaping the field per m^2 = Rs. 1.25

Therefore, cost of reaping 8960m^2 = Rs. 1.25 * 8960 = Rs. 11200

Therefore, cost of reaping the field = Rs. 11200

Answer 2

Given :

• Ratio of the length and breadth is 5:7
• Perimeter is 96 m

To find :

• Length of the rectangular field.

According to the question,

Let the ratio be 5x and 7x

And the perimeter 96 m

→ Perimeter of rectangle = 2(length + breadth)

→ 96 m = 2(5x + 7x)

→ 96 m = 2(12x)

→ 96 ÷ 2 = 12x

→ 48 = 12x

→ 48 ÷ 12 = x

→ 4 = x

Value of 5x :

→ 5x

→ 5(4)

→ 20 m

Value of 7x :

→ 7x

→ 7(4)

→ 28 m

So,the length is 28 m...

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