There are 3ft in 1 yard. This is equivalent to 12ft in 4yrds.Which proportion can be used to represent this?
1 answer:
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Answer:
It can be decomposed into the following simplest shapes:
TWO RECTANGLES AND ONE TRIANGLE
Step-by-step explanation:
You can observe in the picture attached that it can be decomposed into the following simplest shapes:
Two Rectangles.
One Triangle.
Because,
The area of the a rectangle can be found with:
A= lw
Where "l" is the length and "w" is the width.
You can identify in the picture that:
lA: 14 ft
Wa: 13ft -7ft= 6ft
1b= 20 ft
wb= 7ft
So, Substituting the values, you get that the areas of the rectangles A and B are:
Aa: (14ft) (6ft)= 84ft²
Ab: (20ft) (7ft) = 140ft²
The formula for the area of a triangle is:
A=
Where "b" is the base and "h" is the height.
In this case:
b= 20ft- 14ft= 6ft
h= 6ft
Then, its area is:
Ac =
which iis 18ft²
Then, it will bring the total area of carpet that Valerie needs:
At= Aa+ Ab+ Ac
At= 84ft² + 140ft² + 18ft²
At= 242²