Question

A pentagon is made of a triangle and a trapezoid. The height of the triangle shown is about 541 feet, and the height of the trapezoid is about 876 feet. Estimate the land area of the Pentagon.

Answer 1

Answer:

  about 1,459,063 ft^2

Step-by-step explanation:

The area of the triangle is ...

  A = (1/2)bh = (1/2)(1490 ft)(541 ft) = 403045 ft^2

The area of the trapezoid is ...

  A = (1/2)(b1 +b2)h = (1/2)(1490 ft +921 ft)(876 ft) = 1056018 ft^2

Then the total land area is about ...

  403,045 ft^2 +1,045,018 ft^2 = 1,459,063 ft^2