Step 1: The area of a rectangle is given by the formula length × breadth. We know that the area of the field is 144m² and the ratio of length to breadth is 9:4. Let's denote the common ratio as x. So, the length is 9x and the breadth is 4x.

Step 2: Substituting these values into the area formula, we get 9x × 4x = 144. Simplifying this, we get 36x² = 144. Solving for x, we find that x = 2.

Step 3: Substituting x = 2 back into the expressions for length and breadth, we find that the length is 18m and the breadth is 8m.

Step 4: The cost of fencing the field is determined by the perimeter of the field, as the wire will go around the edge. The perimeter of a rectangle is given by the formula 2(length + breadth).

Step 5: Substituting the values of length and breadth into the perimeter formula, we get 2(18m + 8m) = 52m.

Step 6: The cost of the wire is 4 Rs/m. So, the total cost of the wire needed to fence the field is 52m × 4 Rs/m = Rs 208.

So, the correct answer is Rs 208.

Question

Step 1: The area of a rectangle is given by the formula length × breadth. We know that the area of the field is 144m² and the ratio of length to breadth is 9:4. Let's denote the common ratio as x. So, the length is 9x and the breadth is 4x.

Step 2: Substituting these values into the area formula, we get 9x × 4x = 144. Simplifying this, we get 36x² = 144. Solving for x, we find that x = 2.

Step 3: Substituting x = 2 back into the expressions for length and breadth, we find that the length is 18m and the breadth is 8m.

Step 4: The cost of fencing the field is determined by the perimeter of the field, as the wire will go around the edge. The perimeter of a rectangle is given by the formula 2(length + breadth).

Step 5: Substituting the values of length and breadth into the perimeter formula, we get 2(18m + 8m) = 52m.

Step 6: The cost of the wire is 4 Rs/m. So, the total cost of the wire needed to fence the field is 52m × 4 Rs/m = Rs 208.

So, the correct answer is Rs 208.

Knowee AI · Accepted Answer

Step 1: The area of a rectangle is given by the formula length × breadth. We know that the area of the field is 144m² and the ratio of length to breadth is 9:4. Let's denote the common ratio as x. So, the length is 9x and the breadth is 4x.

Step 2: Substituting these values into the area formula, we get 9x × 4x = 144. Simplifying this, we get 36x² = 144. Solving for x, we find that x = 2.

Step 3: Substituting x = 2 back into the expressions for length and breadth, we find that the length is 18m and the breadth is 8m.

Step 4: The cost of fencing the field is determined by the perimeter of the field, as the wire will go around the edge. The perimeter of a rectangle is given by the formula 2(length + breadth).

Step 5: Substituting the values of length and breadth into the perimeter formula, we get 2(18m + 8m) = 52m.

Step 6: The cost of the wire is 4 Rs/m. So, the total cost of the wire needed to fence the field is 52m × 4 Rs/m = Rs 208.

So, the correct answer is Rs 208.

Area of rectangular field is 144m² and ratio of its length to breadth is 9:4. Find cost of fencing the field if the cost of wire which is to be fenced is 4 Rs/m?Choices:- Rs 200 Rs 216 Rs 208 Rs 252

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