Question

Answer this question please NO FAKE ANSWERS OR I WILL REPORT

Answer 1

Answer:

D

Step-by-step explanation:

the figure is composed of a rectangle and a right triangle ( top )

calculate the hypotenuse h of the right triangle using Pythagoras' identity

h² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

h = $\sqrt{100}$ = 10

the base of the rectangle is equal to h , then perimeter (P) of pentagon is

P = 10 + 4 + 6 + 8 + 4 = 32 cm

Answer 2

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the problem want:

 ⇒ the dimensions or the perimeter of the pentagon

What information do we need to find the perimeter:

 ⇒ the unknown side length

Let's find the unknown side length:    

$\hookrightarrow \text{split the pentagon into two shapes as shown in the image below}\\\hookrightarrow \text{the hypotenuse of the right triangle is equal to the length of the unknown side}\\\hookrightarrow\text{hypotenuse}=\sqrt{6^2+8^2}= \sqrt{36+64}=\sqrt{100}=10$$\hookrightarrow \text{the unknown side length is 10}$

Perimeter = 6 + 8 + 4 + 4 + 10 = 32

Answer: 32 or (D)

Hope that helps!

#LearnwithBrainly