Question

(Part 1)What is the combined area of the two right triangles? A. 12 B. 18 C. 24 D.36

(Part 2) Whick expression gives the area of the parallelogram A. (14x6-24) square units B.(14x6-18) square units C.(8x6+36) swuare units
D. (8x6+12) square units

Answer 1

Part 1: D. 36

Part 2: C. (8*6 + 36) square units

Explanation:

Part 1:

Area of a triangle = ½*base*height

The two triangles has the same height and base.

Height = 6,

Base = 6

Combined area of the two right angles = 2(½*base*height)

= 2(½*6*6)

= (6*6)

Combined area = 36 square units

Part 2:

The are of the parallelogram = area of the rectangle + the combined are of the two right triangles

The rectangle has:

length = 14 - 6 = 8

Width = 6

Area of rectangle = length * width = 8*6

Combined area of the two right triangles = 36

Therefore, the expression of the area of the parallelogram = (8*6 + 36) square units