Question

The cost of putting a fence around a square field at ` 3.50 per meter is ` 280. The length of each side of the field is .

Answer 1

Question :

The cost of putting a fence around a square field at 3.50 per meter is 280. The length of each side of the field is .

Answer :

$\sf\pink{Given:}$

• Cost of putting fence around a square field is 280 at the rate 3.50 per meter .

$\sf\pink{To\:find:}$

• Length of each side of the square field ? .

Explanation :

To find the length of each side we first need to find the perimeter of the square field . We can find the perimeter by dividing the cost by the rate of fencing .

$\longrightarrow\sf\purple{Perimeter\:of\: square\: field = \dfrac{cost}{rate}}$

$\longrightarrow\sf\purple{Perimeter\:of\: square\:field = \dfrac{280}{3.50}}$

$\longrightarrow\sf\purple{Perimeter\:of\: square\:field = 80}$

• Therefore the perimeter is 80 m .

$\sf\red{Perimeter = 4\times side}$

$\longrightarrow\sf\red{80 = 4\times side}$

$\longrightarrow\sf\red{side = \dfrac{80}{4}}$

$\longrightarrow\sf\red{side = 20 m}$

• Therefore the length of each side of the square field is 20 m .

$\sf\green{@SparklingSparkles}$