Question

find the perimeter and area of this figure
p = 21.23 units
a = ? units²
do not round your answer

Explanation:

Step1: Find the base and height of the triangle

From the graph, the base \(b\) of the triangle: The \(x -\)coordinates of the two bottom - right and bottom - left vertices are \(x_1 = 2\) and \(x_2=9\). So \(b=\vert9 - 2\vert=7\). The height \(h\): The \(y -\)coordinate of the bottom - vertices is \(y = 2\) and the \(y -\)coordinate of the top - vertex is \(y = 9\). So \(h=\vert9 - 2\vert=7\).

Step2: Use the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times b\times h\). Substitute \(b = 7\) and \(h = 7\) into the formula: \(A=\frac{1}{2}\times7\times7\).

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Answer:

\(24.5\)