The composite figure is made up of a triangle, a square, and a trapezoid. Find
the area.
3
5
A. 34.5 sq. units
B. 19 sq. units
C. 46 sq. units
D. 38 sq. units

The composite figure is made up of a triangle a square and a trapezoid Find the area 3 5 A 345 sq units B 19 sq units C 46 sq units D 38 sq units class=

Respuesta :

Answer:

A. 34.5 sq. units

Step-by-step explanation:

For the triangle:

base = b = 3

height = h = 2

For the square:

side = s = 3

For the trapezoid:

base 1 = B_1 = 5

base 2 = B_2 = 4

height = H = 5

The total area is the sum of the areas of the triangle, square, and trapezoid.

area of triangle = bh/2

area of square = s²

area of trapezoid = (B_1 + B_2)H/2

area = bh/2 + s² + (B_1 + B_2)H/2

area = (3)(2)/2 + (3²) + (5 + 4)(5)/2

area = 3 + 9 + 22.5

area = 34.5

Answer: A. 34.5 sq. units