Look at the Schoology problem provided below.
2 answers:
Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k = = 4
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The area of the composite figure is
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle :
The formula is given by
where and
Substituting, we have,
Thus, the area of the rectangle =
Area of the triangle :
The formula is given by
where
and
Substituting, we have,
Thus, the area of the triangle =
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure =
Thus, the area of the composite figure is