Question

find the following measurements of the triangle shown.
triangle base = 7 units height = 4 units
what are the base and height of the parallelogram shown?
parallelogram base = 7 units height = 4 units
what is the area of the parallelogram?
area of parallelogram = 28 square units
what is the area of the original triangle?
area of triangle = ? square units

Explanation:

Step1: Recall the formula for the area of a triangle

The area of a triangle \(A=\frac{1}{2}\times\text{base}\times\text{height}\).

Step2: Substitute the base and height of the parallelogram

We know from the previous parts that the base of the parallelogram (which is the same as the base of the triangle) \(b = 7\) units and the height of the parallelogram (which is the same as the height of the triangle) \(h=4\) units.

$$A=\frac{1}{2}\times7\times4$$

Step3: Calculate the value

First, calculate \(7\times4 = 28\), then \(\frac{1}{2}\times28=14\)

Answer:

\(14\) square units