a) 35 x 13 + 3.14 x ²
= 455 + 3.14 x 42.25
= 455 + 132.665
= 587.665 m²
∴ The area is 587.665 m².
What is the Area of the Trapezoid GHIK?
1 answer:
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Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem
substitute the given values
simplify
step 2
In the right triangle ACD
Find the cosine of angle CAD
substitute the given values
----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC
substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross
step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem
substitute the given values
simplify
If you're completing the square the answer is in the image.
expression
x^2 + 5x - 5=ax^2+bx+c
a=1, b=5, c=-5, and you can solve it that way.
