3. Section 5.3
Exercise 129 Page 327
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Perimeter≈ 40.3mm
Perimeter=30feet
A=1/2h(b_1+b_2) Let's identify these dimensions in the given trapezoid and then calculate the area.
To find y, we first have to find x by using the Pythagorean Theorem.
Having found the value of x, we can also find y.
Now we can calculate the trapezoid's unknown side, again, by using the Pythagorean Theorem.
Substitute values
Calculate power
Add terms
Rearrange equation
sqrt(LHS)=sqrt(RHS)
c > 0
When we know the unknown side of the trapezoid we can calculate the perimeter.
Since we know the length of the trapezoid's parallel sides and its height, we can calculate its area. Additionally, we know the rectangle's width and length so we can calculate its area as well. If we add these values we get the shape's total area.
To find the perimeter we also need to determine the shape's unknown side, which we can call x.
Now we can calculate the unknown side with the Pythagorean Theorem.
Substitute values
Calculate power
Add terms
Rearrange equation
sqrt(LHS)=sqrt(RHS)
x > 0
When we know the shape's unknown side we can finally calculate the perimeter. Notice that the shape includes four sides that are 5 feet, three that are 2 feet, and one that is 4 feet.
