Question

find the perimeter and area of the figure below. figure is not drawn to scale. all angles that appear right angles are right angles. the perimeter of the figure is 130 units. the area of the figure is units²

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle with length 38 and width 16, and another with length 15 and width $23 - 16=7$.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 38$ and $w = 16$, $A_1=38\times16 = 608$.

Step3: Calculate the area of the second rectangle

For the second rectangle with $l = 15$ and $w = 7$, $A_2=15\times7=105$.

Step4: Calculate the total area

The total area $A = A_1+A_2$. So $A=608 + 105=713$.

Answer:

713