Question

Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an extremely sustainable resource. If the cost of fencing the field at the rate of Dhs16 per metre is Dhs12000, find the dimensions of the field.

Answer 1

Length = 200 m

Breadth = 175 m

Explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

= 12000 ÷ 16

= 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

30x = 750

x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m