Question

The length and breadth of a rectangular courtyard is 75 m and 32 m. Find, the cost of leveling it at the rate of $3 per m${}^2$. Also, find the distance covered by a boy to take 4 rounds of the courtyard.

• A. $7000, 876 m
• B. $6000, 856 m
• C. $7200, 856 m
• D. $7100, 856 m

Answer 1

The correct option is C

$7200, 856 m

Length of the courtyard = 75 m

Breadth of the courtyard = 32 m

Perimeter of the courtyard = 2 $\times$ (75 + 32) m

= 2 $\times$ 107 m

= 214 m

Distance covered by the boy in taking 4 rounds = 4 $\times$ perimeter of courtyard

= 4 $\times$ 214

= 856 m

We know that area of the courtyard = length $\times$ breadth

= 75 $\times$ 32 m${}^2$

= 2400 m${}^2$

For 1 m${}^2$, the cost of leveling = $3

For 2400 m${}^2$, the cost of leveling = $3 $\times$ 2400

= $7200