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Digital SAT
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Area of Rectangular Pathway Surrounding an Isosceles Triangle

Hard Functions And Modeling Modeling With Geometry

Consider a triangular garden in the shape of an isosceles triangle. The base of the triangle is 8 meters, and the height from the apex of the triangle down to the base is 6 meters. A pathway is to be built around the garden, forming a rectangle that encompasses the triangle with a height equal to the height of the triangle plus an additional 2 meters. What is the total area of the rectangular pathway?

Remember that the area of a rectangle is given by the formula:

$$A = l imes w$$

Hint

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