Question

the amount spent on a building a wall around a rectangular field is Rs.656.00 at the rate of Rs10.25 per meter.what is its breadth,if the length is 22m?​

Answer 1

AnswEr :

• Amount Spent on Building Wall around a Rectangular Field is Rs.656 @ Rs.10.25
• Length of Rectangular Field is 22m
• Find the Breadth of Field.

⇒ Total Expense = Perimeter × Rate

• Using Values

⇒ 656 = Perimeter × 10.25

⇒ Perimeter = 656 / 10.25

⇒ Perimeter = 64 m

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⇒ Perimeter = 2 × ( Length + Breadth )

• Plugging the Values

⇒ 64 = 2 × ( 22 + Breadth )

• Dividing Both term by 2

⇒ 32 = 22 + Breadth

⇒ Breadth = 32 - 22

⇒ Breadth = 10 m

჻ Breadth of Rectangular Field is 10m.

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• Verification :

» Expense = Perimeter × Rate

» 656 = {2 × ( 22 + 10 )} × ( 10.25 )

» 656 = ( 2 × 32 ) × 10.25

» 656 = 64 × 10.25

» 656 = 656 Hence, Verified!

Answer 2

Answer:

Breadth of rectangular field (b) is 10 m.

Step-by-step explanation:

Given,

Total amount spent on a building a wall = rs 656

rate of building a wall = rs 10.25 per meter.

Length of rectangular field (l) = 22 m

$total \: amount \: spent \: on \: a \: building \: a \: wall \: = \: perimeter \: of \: rectangular \: field \: \times \: rate \: of \: building \: a \: wall \\ perimeter \: of \: rectangular \: field \: = \: \frac{total \: amount \: spent \: on \: a \: building \: a \: wall}{rate \: of \: building \: a \: wall} \\ \\ perimeter \: of \: a \: rectangular \: field \: = \: \frac{rs \: 656}{rs \: 10.25} \\ \\ perimeter \: of \: a \: rectangular \: field \: = \: 64 \: m$

According to the question

Let the length and breadth of a rectangular field be l and b respectively.

Perimeter of a rectangular field = 64 m

2 (l + b) = 64 m

2 (22 + b ) = 64 m

(22 + b) = 64/2 m

22 + b = 32 m

b = (32 - 22) m

b = 10m

Then ,

Breast of a rectangular field (b) = 10 m