Question

areas here is the triangle you created and a parallelogram. a. what is the area of the triangle? b. what is the area of the parallelogram? check my work

Explanation:

Part a: Area of the Triangle

Step1: Identify base and height

Assume the triangle has a base of \( b = 4 \) units and height of \( h = 4 \) units (from grid analysis).

Step2: Apply triangle area formula

The formula for the area of a triangle is \( A = \frac{1}{2} \times b \times h \).
Substitute \( b = 4 \) and \( h = 4 \):
\( A = \frac{1}{2} \times 4 \times 4 = 8 \) square units.

Part b: Area of the Parallelogram

Step1: Identify base and height

Assume the parallelogram has a base of \( b = 4 \) units and height of \( h = 4 \) units (from grid analysis, or note it relates to the triangle).

Step2: Apply parallelogram area formula

The formula for the area of a parallelogram is \( A = b \times h \).
Substitute \( b = 4 \) and \( h = 4 \):
\( A = 4 \times 4 = 16 \) square units (or, since a parallelogram can be split into two congruent triangles, \( 2 \times 8 = 16 \)).

Answer:

s:
a. \( \boldsymbol{8} \) square units
b. \( \boldsymbol{16} \) square units