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Pls hurry !!

Which of the following represents the total area of the figure? 16.425 in² 20.775 in² 24.15 in² 28.5 in²​

Pls hurry !! Which of the following represents the total area of the figure? 16.425 in-example-1
User Jlchereau
by
7.6k points

2 Answers

1 vote

Answer: A) 16.425 in^2.

Step-by-step explanation: The figure is broken down, so let's find the area of the rectangle first. We are given 4 in and 2.3 in, which can be multiplied to get 9.2 in. Now, we need to find the area of the two triangles, but let's start with the one to the left. The area of a triangle is b x h x 1/2. 2.3 in x 2.5 in is 5.75 in, but we need to multiply that by 1/2 which is 2.875 in. Finally, we can find the area of the bottom triangle by using the same formula. 3 in x 2.9 in is 8.7 in, but we need to multiply it by 1/2, which is 4.35 in. Now, all we need to do is add all the areas we found together to get the total area of the figure. 9.2 in + 2.875 in + 4.35 in is 16.425 in^2, which means that option A is your answer.

Let me know if this is right! :)

User Alvarodms
by
7.3k points
4 votes

Answer:

16.425 in²

Explanation:

total area of the figure= area of (left triangle+ rectangle+ down triangle)

=1/2*base*height+length*breath+ 1/2*base*height

=1/2*2.5*2.3+4*2.3+1/2*3*(5.2-2.3)

=16.425 in²

User Jon Galloway
by
6.8k points