Question

A park is shaped like a figure made up of a square and a triangle.

The height of the triangular part is 26 meters.

A polygon consisting of a square with left and bottom marked as 42 m topped by a triangle. The top of the square is the base of the triangle. A dashed perpendicular segment extending from the base to the opposite vertex of the triangle is marked as 26 m.

What is the area of the park?

Enter your answer in the box.

Answer 1

Explanation:

Hypotenuse of the triangle:

Area of the Square:

`( {42})^(2) = 1764 \: {m}^(2)`

Area of the Triangle:

`( (42)/(2) * 26 )/(2) = 273 \: {m}^(2)`

Total Area:

`(1764 + 273) \: = \: 2037 \: {m}^(2)`