Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
wer a list of questions. Part A: For what one value of x are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of x are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)
1 answer:
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Answer:
9.14 inches.
Step-by-step explanation:
From the question,
Assuming the diagram attached, is similar to diagram required to support the question,
From the diagram,
Applying pythagoras theorem
a² = b²+c²...................... Equation 1
Where a = 13.4 in, b = x in, c = 9.8 in.
Substitute these values into equation 1
13.4² = x²+9.8²
x² = 13.4²-9.8²
x² = 179.56-96.04
x² = 83.52
x = √(83.52)
x = 9.14 inches
Hence the distance between the rods is 9.14 inches
