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Stella [2.4K]
2 years ago
9

What is the area of the shape?

Mathematics
1 answer:
amm18122 years ago
4 0

Answer: 21 units²

Step-by-step explanation:

Since there is a pair of parallel sides, this figures is a trapezoid. The formula for the area of a trapezoid is \frac{1}{2}(a+b)h, where a and b are the parallel sides and h is the height.

Here, a and b are 5 and 9, while 3 is the height. Let's put all 3 values into the formula.

A=\frac{1}{2}(5+9)*3

A=\frac{1}{2}(14)*3<em> [Adding in the parentheses]</em>

A=7*3 <em>[Multiplying one-half by 14]</em>

<em />A=21 <em>[Multiplying 7 and 3]</em>

<em />

The area is 21 units².

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erastova [34]

Answer:

Bumby Avenue is represented by the line:

y = -4*x - 7.

Primrose Avenue can be represented with:

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We may want to find the point where both avenues intersect.

Let's isolate y in this second equation:

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Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.

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