Question

. The breadth of a rectangular field is twice its length. If the area of the field is 1058 m, find the cost of fencing it at 35 per m. ​

Answer 1

QUESTION:

• The breadth of a rectangular field is twice its length. If the area of the field is 1058 m, find the cost of fencing it at 35 per m

FOLLOW THE IMAGE

ANSWER EXPLANATION:

Consider length of the rectangular field = l meters,

∵ Breadth is twice its length.

So, width = 2l,

Thus, area = length × width

$= 2 {l}^{2}$

According to the question,

$2 {l}^{2} = \: 1058$

${l}^{2} = 529$

$l = 23m$

• Negative value will not consider because side can not be negative

That is,breadth = 2(23) = 46

Hence, perimeter of the field = 2(length + breadth) = 2(23+46) = 2(69) = 138 meters

If cost of fencing for 1 meter = 35 rupees

Then the cost of fencing 138 meters = 138 × 35 = 4830 rupees