The figure below is made of three parts: two equilateral triangles (each with side length æ) joined to a rectangle. The perimeter of the figure (black outline) is 24 centimeters. Answer the questions below. (a) Find r so that the area is maximised. Write your answer as a fraction (with radicals) and as a decimal approximation with two decimal places. (b) Use the decimal form in (a) to find the maximum possible area? Round off your answer to two decimal places. V3 Hint: The area of an equilateral triangle with side length s is

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The figure below is made of three parts: two equilateral
triangles (each with side length æ) joined to a rectangle. The perimeter of the
figure (black outline) is 24 centimeters. Answer the questions below.
(a) Find x so that the area is maximised. Write your answer as a fraction (with
radicals) and as a decimal approximation with two decimal places.
b) Use the decimal form in (a) to find the maximum possible area? Round off
your answer to two decimal places.
V3
Hint: The area of an equilateral triangle with side length s is
Transcribed Image Text:The figure below is made of three parts: two equilateral triangles (each with side length æ) joined to a rectangle. The perimeter of the figure (black outline) is 24 centimeters. Answer the questions below. (a) Find x so that the area is maximised. Write your answer as a fraction (with radicals) and as a decimal approximation with two decimal places. b) Use the decimal form in (a) to find the maximum possible area? Round off your answer to two decimal places. V3 Hint: The area of an equilateral triangle with side length s is
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