Question

The length and breadth of a rectangular park are in the ratio 6:11. If the perimeter of the park is 170 m, find the area of the park.


(please answer quick)

Answer 1

Answer: $\frac{66}{289}$

Explanation: Length of a rectangular park = $\frac{6}{17}$

Breadth of a rectangular park = $\frac{11}{17}$

Perimeter of the rectangular park = 170

Area of the park = ?

Area of park = L × B

= $\frac{6}{17}$ × $\frac{11}{17}$

= $\frac{66}{289}$

Answer 2

$Ratio \: of \: \: \: l:b = 6:11$

$Length = 6x$

$Breadth = 11x$

$Perimeter \: \: \: 2(l+b) = 170$

$6x+ 11x = 170$

$17x = 170$

$x = \frac{170}{17}$

$x = 10$

$Length = 6x \\ = 6 \times 10 \\ = 60$

$Breadth = 11x \\ = 11 \times 10 \\ = 110$