Question

The length and breadth of a rectangular field are in the ratio 7:5 and its perimeter is 384.Find the cost of reaping the field at rupees 1.25 per square.meter.

Answer 1

here is your answer...

Answer 2

✬ Cost = Rs 11,200 ✬

Step-by-step explanation:

Given:

• Length and Breadth of a rectangular field are in ratio 7 : 5.
• Perimeter of rectangle is 384 m.
• Cost of reaping the field is Rs 1.25 / m²

To Find:

• What is the cost of reaping?

Solution: Let x be the common in given ratio.

∴ Ratio will be 7x : 5x

• Length = 7x
• Breadth = 5x

• Perimeter of rectangle = 2 (Length + Breadth) •

A/q

$\small\implies{\sf }$ 384 = 2 ( 7x + 5x )

$\small\implies{\sf }$ 384 = 2 (12x)

$\small\implies{\sf }$ 384 = 24x

$\small\implies{\sf }$ 384/24 = x

$\small\implies{\sf }$ 16

Hence, Length = 7x = 7(16) = 112 m

Breadth = 5x = 5(16) = 80 m

• Since, The cost of reaping is in Sq.m so we have to find the area of rectangular field •

★ Area of Rectangle = Length x Breadth ★

$\small\implies{\sf }$ Area = (112 x 80)m²

$\small\implies{\sf }$ Area = 8960 m²

→ Cost of reaping 1 m² = Rs 1.25

∴ Cost of reaping 8960 m² = Rs (1.25 x 8960)

$\small\implies{\sf }$ Rs 11,200

Hence, The cost of reaping field at Rs 1.25 /m² is Rs 11,200.