Middle School

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A pedestal for a statue is in the shape of a hexagon, formed by a square and two congruent triangles, with the dimensions shown below. What is the area of the top of the pedestal?

A pedestal for a statue is in the shape of a hexagon formed by a square and two congruent triangles with the dimensions shown below

Answer :

You are told the middle part is a square, so all 4 sides are equal.

The height is shown as 4 feet, so the width of the square is also 4 feet.

This means the height of the 2 triangles is 7 - 4 = 3 feet, so each triangle is 1.5 feet high ( 3 feet / 2 = 1.5).

The area of the square is 4 x 4 = 16 square feet.

The area of 1 triangle is 1/2 x base x height = 1/2 x 4 x 1.5 = 3 square feet.

The total area = 16 + 3 + 3 = 22 square feet.

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