The sum of three consecutive numbers is 72. What is the middle number?
2 answers:
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The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. ), while the area of the triangle is half the product of the base and height (
).
The sum of the two areas is the area of the composite shape.
Answer:
Step-by-step explanation:
The area for a triangle is
Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:
We can get rid of the denominator of 2 by multiplying it on both sides to get:
and simplifying a bit:
Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:
which is choice C