Question

answer attempt 2 out of 3
area = units² submit answer

Explanation:

Step1: Divide the figure

Divide the figure into a parallelogram (ABED) and a rectangle (BCDE).

Step2: Calculate the area of the parallelogram

The base of the parallelogram \(ABED\) is \(8\) units (from \(x=- 9\) to \(x = - 1\)), and the height is \(4\) units (from \(y = 1\) to \(y = 5\)). The area of a parallelogram \(A_{1}=base\times height\), so \(A_{1}=8\times4 = 32\) square units.

Step3: Calculate the area of the rectangle

The length of the rectangle \(BCDE\) is \(5\) units (from \(x=-1\) to \(x = 4\)), and the width is \(10\) units (from \(y=-5\) to \(y = 5\)). The area of a rectangle \(A_{2}=length\times width\), so \(A_{2}=5\times10=50\) square units.

Step4: Calculate the total area

The total area \(A = A_{1}+A_{2}\). So \(A=32 + 50=82\) square units.

Answer:

\(82\)