Finding the Missing Side Length of a Composite Shape

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SUMMARY

The discussion centers on calculating the area of a composite shape consisting of a rectangle and a triangle. The rectangle's area is determined using the formula A = l x w, resulting in an area of 112 square meters for dimensions 14 m by 8 m. The triangle's area can be calculated directly using the base of 8 m and height of 5 m with the formula A = (base x height) / 2, eliminating the need to find the lengths of the triangle's sides. This realization simplifies the problem-solving process for the user.

PREREQUISITES
  • Understanding of basic geometry concepts
  • Familiarity with area calculation formulas for rectangles and triangles
  • Ability to visualize composite shapes
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Learn how to calculate the area of various composite shapes
  • Study the properties of triangles and their area formulas
  • Explore geometric visualization techniques for complex figures
  • Practice solving real-world problems involving area calculations
USEFUL FOR

Students studying geometry, educators teaching area calculations, and anyone looking to improve their problem-solving skills in mathematics.

Kirito123
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Homework Statement


upload_2016-5-12_22-30-0.png


Homework Equations


A = l x w
A = hbb / 2

The Attempt at a Solution


To find the area of a rectangle you would use the formula "A = L x W". In this case A = 14 x 8 which is eual to 112, Now all i need is the area of the triangle and then i add them together and that will be the area of the whole figure.

So i know we have the height of the triangle is 5
Also the part i colored yellow is 8 m long.
upload_2016-5-12_22-37-3.png


So my question is how can i find the length of 1 of the sides of the triangle.
 
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Kirito123 said:

Homework Statement


View attachment 100649

Homework Equations


A = l x w
A = hbb / 2

The Attempt at a Solution


To find the area of a rectangle you would use the formula "A = L x W". In this case A = 14 x 8 which is eual to 112, Now all i need is the area of the triangle and then i add them together and that will be the area of the whole figure.

So i know we have the height of the triangle is 5
Also the part i colored yellow is 8 m long.
View attachment 100650

So my question is how can i find the length of 1 of the sides of the triangle.

Why would you need to find that?
 
Ray Vickson said:
Why would you need to find that?

I need to find the area of that triangle, that way i can find the whole area of that composite shape.
 
Kirito123 said:
I need to find the area of that triangle, that way i can find the whole area of that composite shape.
for area of that triangle you already have the base ( 8m) and height (5m), so you don't need to calculate other sides, you can directly calculate the area.
 
OMG I totally didn't even think about that...... face palm:doh:. sahil you just cleared my mind, man I am so in a blrr today. anyway i now know what to do.
 
Thanks m8 :)
 

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