anonymous
  • anonymous
Charles has been asked to insert a trapezoid in the floor tiling of the rotunda of the courthouse. One base must be 8 feet and the height must be 10 feet. Write an equation for the area.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
help?
anonymous
  • anonymous
algebra 1 equations
anonymous
  • anonymous
http://www.mathopenref.com/trapezoidarea.html

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anonymous
  • anonymous
so, area = (8 feet + x feet / 2) * 10
anonymous
  • anonymous
\[a=(\frac{ 8+x }{ 2 }) * 10\]
anonymous
  • anonymous
If Charles wants the area of the trapezoid to be 65 square feet, what should be the measure of the second base?
anonymous
  • anonymous
u there?
anonymous
  • anonymous
just plug 65 into a, sorry I was AFK
anonymous
  • anonymous
65=
anonymous
  • anonymous
\[65 = ((8+x)/2)∗10\]
anonymous
  • anonymous
x will be the second side
anonymous
  • anonymous
so idk what to do first
anonymous
  • anonymous
so whats the first step
anonymous
  • anonymous
Solve for x: 65 = 5 (8+x) Divide both sides by a constant to simplify the equation. Divide both sides of 65 = 5 (8+x) by 5: 8+x = 65/5 Use long division to simplify 65/5. 5 | 1 | 3 | 6 | 5 - | 5 | | 1 | 5 - | 1 | 5 | | 0: 8+x = 13 Isolate terms with x to the left hand side. Subtract 8 from both sides: x+(8-8) = 13-8 Look for two terms that sum to zero. 8-8 = 0: x = 13-8 Evaluate 13-8. 13-8 = 5: Answer: x = 5

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