Question

if x = 13 cm, y = 6 cm, and z = 25 cm, what is the area of the figure show below? do not include a unit of measure with your response. answer

Explanation:

Step1: Divide figure into rectangle and triangle

The figure can be divided into a rectangle with sides $x$ and $y$ and a right - triangle with base $z - x$ and height $y$.

Step2: Calculate area of rectangle

The area of a rectangle $A_{1}$ is given by the formula $A_{1}=x\times y$. Substituting $x = 13$ and $y = 6$, we get $A_{1}=13\times6=78$.

Step3: Calculate base of triangle

The base of the triangle $b=z - x$. Substituting $x = 13$ and $z = 25$, we get $b=25 - 13 = 12$.

Step4: Calculate area of triangle

The area of a triangle $A_{2}$ is given by the formula $A_{2}=\frac{1}{2}\times b\times y$. Substituting $b = 12$ and $y = 6$, we get $A_{2}=\frac{1}{2}\times12\times6=36$.

Step5: Calculate total area

The total area $A$ of the figure is $A = A_{1}+A_{2}$. So $A=78 + 36=114$.

Answer:

114