The area of a square shaped field is 1764 {m}^{2}. The breadth of a rectangular park is \frac{1}{6} th of the side of the square field and the length is four times its breadth. What is the cost (in ₹) of levelling the park at ₹ 30 per {m}^{2} ?

SSC CGL 23 Aug 2021 Shift 1 Paper

Question : 52 of 100

Marks: +1, -0

The area of a square shaped field is

1764 {m}^{2}

. The breadth of a rectangular park is

\;{1}/{6}

th of the side of the square field and the length is four times its breadth. What is the cost (in ₹) of levelling the park at ₹ 30 per

{m}^{2}

Solution:

Area of square

=1764 {m}^{2}

a^{2} \;\; =1764

a \;\; =√{1764}

a \;\; =42 {cm}

According to the question,
Breadth of rectangular park is

\;{1}/{6}

th of side of square.

\;\text " Breadth "\;=\;{1}/{6} × 42=7 {cm}

Length is 4 times the breadth

=4 × 7=28 {cm}

Cost of levelling the park at

₹ 30 \/ {m}^{2}

\;\; =1 × b × 30

\;\; =28 × 7 × 30

\;\; =5880 {m}^{2}

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