Find the solution for the variable X. 2x = 12
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The problem statement asks for the area of the pool. We will assume that is an error, and that you want to fill in the table with the area of the walkway.
Consider a walkway of width w. The outside dimension of the walkway will be 2w plus the dimension of the pool (since there is a walk on either side). Thus, the outside dimensions of the pool and walkway are 9+2w and 12+2w yards.
The area of the pool and walkway will be
... total area = pool area + walkway = (9 + 2w)(12 + 2w) = 9·12 + 2w(9+12) +4w²
... total area = (9·12) + walkway = 9·12 + 42w + 4w²
Subtracting the pool area gives the area of the walkway as
... walkway = 42w + 4w² = 2w(2w+21)
Using this formula, we can fill in the table
Answer:
STEP BY STEP EXPLANATION
To make a perfect square we should add
- To divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment.
- These perpendicular bisectors intersect and divide each triangle into three regions.
- The points in each region are those closest to the vertex in that <u>region</u>.
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>What is a line segment?</h3>A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
<h3>What is a perpendicular bisector?</h3>A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.
In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. The points in each region are those closest to the vertex in that <u>region</u>.
Read more on perpendicular bisectors here: brainly.com/question/27948960
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