## spidergirl51 3 years ago 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.

1. spidergirl51

help?

2. spidergirl51

algebra 1 equations

3. gallaxhar
4. gallaxhar

so, area = (8 feet + x feet / 2) * 10

5. gallaxhar

$a=(\frac{ 8+x }{ 2 }) * 10$

6. spidergirl51

If Charles wants the area of the trapezoid to be 65 square feet, what should be the measure of the second base?

7. spidergirl51

u there?

8. gallaxhar

just plug 65 into a, sorry I was AFK

9. spidergirl51

65=

10. gallaxhar

$65 = ((8+x)/2)∗10$

11. gallaxhar

x will be the second side

12. spidergirl51

so idk what to do first

13. spidergirl51

so whats the first step

14. gallaxhar

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