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A farmer wants to build a fence around the edge of a field shaped like a right-angled triangle, as shown below. The fence costs £1.26 per metre.

Calculate the total cost of the fence.
Give your answer to the nearest pound.

A farmer wants to build a fence around the edge of a field shaped like a right-angled-example-1

1 Answer

6 votes

To calculate the total cost of the fence, we need to know the length of the fence.

In a right-angled triangle, the length of the fence can be calculated using the Pythagorean theorem, which states that the length of the hypotenuse (the fence) is equal to the square root of the sum of the squares of the other two sides (the base and the height of the triangle).

So, the length of the fence (C) = square root of (A^2 + B^2), where A is the base and B is the height of the triangle.

If the base of the triangle is x and the height of the triangle is y, then the cost of the fence can be calculated using the formula:

Cost = (length of fence) x (cost per meter)

Cost = (square root of (x^2 + y^2)) x 1.26

In order to calculate the cost, the farmer needs to know the values of x and y.

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