SOLUTION: Find the perimeter and area of the figure pictured below. [Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,7.4],[2.3,7.4],[2.3,3.3],[11.4,3.3],[11.4,0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the perimeter and area of the figure pictured below. [Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,7.4],[2.3,7.4],[2.3,3.3],[11.4,3.3],[11.4,0      Log On


   

Question 1201005: Find the perimeter and area of the figure pictured below.

[Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,7.4],[2.3,7.4],[2.3,3.3],[11.4,3.3],[11.4,0],[0,0]]);text([0,3.7],'7.4 m','left');text([1.15,7.4],'2.3 m','above');text([11.4,1.65],'3.3 m','right');text([5.7,0],'11.4 m','below');]

Perimeter = __________________ m
Area = __________________  m2
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

I do not see any figure pictured below,

and consider this reference to the script as a mockery of tutors.


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Next time will simply delete such a post
as soon as I see it, without explanations.

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Original drawing


Let's add the labels x and y

Across the horizontal top portions, we have 2.3 meters and x meters. Those must add to the 11.4 meters along the bottom.
2.3+x = 11.4
x = 11.4-2.3
x = 9.1

Follow similar steps for the vertical sides
3.3+y = 7.4
y = 7.4-3.3
y = 4.1

The diagram updates to this


The perimeter is found by adding up the exterior side lengths.
7.4+2.3+4.1+9.1+3.3+11.4
37.6

The perimeter is exactly 37.6 meters.


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There are a few approaches we could do to get the area.

We could split the figure like this

We'll erase the "11.4 meters" label , and the "4.1 meters" label

The rectangle on the left has area 7.4*2.3 = 17.02
The rectangle on the right has area 9.1*3.3 = 30.03
The total area is 17.02+30.03 = 47.05 square meters.

Another way to split the figure would be to do this

I'll let you calculate the area based on this configuration. You should get 47.05 as the final result.


Yet another method to do is to form this larger enveloping rectangle

The larger rectangle is 7.4 m by 11.4 m
The smaller rectangle is 4.1 m by 9.1 m

So,
area of L shape = (larger rectangle) - (smaller rectangle)
area of L shape = (7.4*11.4) - (4.1*9.1)
area of L shape = 84.36 - 37.31
area of L shape = 47.05

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Summary
Perimeter = 37.6 meters
Area = 47.05 square meters