Problema Solution

A patio is configured from a rectangle with two right triangles of equal size attached at the two ends. The length of the rectangle is 20 ft. The base of the right triangle is 3 ft less than the height of the triangle. It the total area of the patio is 348 ft^2, determine the base and height of the triangle portions

Answer provided by our tutors

Let 'x' represent the height of the triangle portion. the the base is 'x - 3'.

20x + 2*(1/2)x(x-3) = 348

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click here to see the equation solved for x

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x = 12 ft

x - 3 = 12 - 3 = 9 ft

The base of the triangle is 9 feet while the height is 12 feet.