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.
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OpenStudy (anonymous):
If Charles wants the area of the trapezoid to be 65 square feet, what should be the measure of the second base?
OpenStudy (anonymous):
u there?
OpenStudy (anonymous):
just plug 65 into a, sorry I was AFK
OpenStudy (anonymous):
65=
OpenStudy (anonymous):
\[65 = ((8+x)/2)∗10\]
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OpenStudy (anonymous):
x will be the second side
OpenStudy (anonymous):
so
idk what to do first
OpenStudy (anonymous):
so whats the first step
OpenStudy (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