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MATH / The sum of the perimeters of two equilateral triangles is 45 inches, and the area of the larger one is 16 times the area of the smaller one. What is the area, in square inches, of …

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problem

The sum of the perimeters of two equilateral triangles is 4545 inches, and the area of the larger one is 1616 times the area of the smaller one. What is the area, in square inches, of the larger triangle? Express your answer in the simplest radical form.
Plain-text mathematical notation (without MathML)
The sum of the perimeters of two equilateral triangles is 45 inches, and the area of the larger one is 16 times the area of the smaller one. What is the area, in square inches, of the larger triangle? Express your answer in the simplest radical form.
Original LaTeX notation
The sum of the perimeters of two equilateral triangles is $45$ inches, and the area of the larger one is $16$ times the area of the smaller one. What is the area, in square inches, of the larger triangle? Express your answer in the simplest radical form.

level

Level 4

type

Geometry

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