Question

Help me with #22 Please i need steps too

Answer 1

Answer:

$\frac{1}{2} (8)(x+4)=3(x+6)\\x=2$

Step-by-step explanation:

$\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2$

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get $4x+16=3x+18$

3. subtract 16 from both sides which will give you $4x=3x+2$

4. subtract 3x from both sides which will give you the value of x. $x=2$

5. check that $x=2$ is correct by plugging it into the equations

triangle:

$area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24$

rectangle:

$area=3(2+6)\\area=3(8)\\area=24$

the areas are the same