Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
I suspect the width is 7x^2 (please double-check).
If that's the case,
the length of the pool is
L=(7x^3-42x^2)/(7x^2)
=7x^3/(7x^2)-42x^2/(7x^2)
=x-6
The formula for area of a trapezoid is 1/2 h (base1+base2) so, if you input the information, it becomes 1/2 14(19+23) simplified once: 7(42) final answer: 294cm².
13. -95
14. -83
15. -22
16. 0
17. I don't have the time rn to do it.
For 13-16 you just need to plug them into your calculator