Question

The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.

Answer 1

Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: $12x^2 + 8x + 25$ units.

How to calculate perimeter of a triangular figure?

Perimeter of a triangle = Sum of lengths of all its 3 sides.

For the given case, we have:

Length of first side(hypotenuse) = $8x^2$ units

Height = $4x^2 + 15$ units

Base is of length $8x + 10$

Thus, its perimeter is calculated as:

Perimeter of a triangle = Sum of lengths of all its 3 sides.

Perimeter =  $8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25$ units

Perimeter = $12x^2 + 8x + 25$ units

Thus,

The perimeter of the consider triangular pool is: $12x^2 + 8x + 25$ units.

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