Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
Multiply all terms by x and cancel:<span><span>6+<span>2x</span></span>=<span><span>3x</span>4</span></span><span><span><span>2x</span>+6</span>=<span><span>34</span>x</span></span>(Simplify both sides of the equation)<span><span><span><span>2x</span>+6</span>−<span><span>34</span>x</span></span>=<span><span><span>34</span>x</span>−<span><span>34</span>x</span></span></span>(Subtract 3/4x from both sides)<span><span><span><span>54</span>x</span>+6</span>=0</span><span><span><span><span><span>54</span>x</span>+6</span>−6</span>=<span>0−6</span></span>(Subtract 6 from both sides)<span><span><span>54</span>x</span>=<span>−6</span></span><span><span><span>(<span>45</span>)</span>*<span>(<span><span>54</span>x</span>)</span></span>=<span><span>(<span>45</span>)</span>*<span>(<span>−6</span>)</span></span></span>(Multiply both sides by 4/5)<span>x=<span><span>−24</span>5</span></span>Check answers. (Plug them in to make sure they work.)<span>x=<span><span><span>−24</span>5</span></span></span>
Answer:
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It is all reals. I hope this helps!