509,539 views
24 votes
24 votes
What is the area of this quadrilateral? 4 ft J3R 10 ft 10 ft 3AC 4 ft O A. 36 square feet O B. 42 square feet O C. 12 square feet O D. 30 square feet

User Paolo Costa
by
2.6k points

1 Answer

21 votes
21 votes

Take into account the area of the three parts of the figure.

There are two equal triangles, their areas are:

A1 = b·h/2 = (3 ft)(4 ft)/2 = 6 ft²

A2 = 6 ft²

The area of the rectangle is:

A3 = w·l = (10 ft)(3 ft) = 30 ft²

The area of the total figure is:

AT = A1 + A2 + A3

AT = 6 ft² + 6 ft² + 30 ft²

AT = 42 ft²

User Ryan Elkins
by
2.8k points