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 \(A=\frac{1}{2}\times b\times h\), where \(b\) is the base and \(h\) is the height.

Step2: Substitute the known values of base and height

We know from the previous parts that \(b = 7\) units and \(h=4\) units.

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

Step3: Calculate the value

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

Answer:

14