Okay. So to start this problem, you will have to write an equation that adds all of the sides and sets it equal to the total perimeter that is already given.
(6x + 5) + (6x + 5) + (2x) + (2x) + (2x) + (2x) + (2x) + (2x) = 154
Now add everything together.
When you add everything together you should get :
24x + 10 = 154
Now solve to find x.
Start by subtracting 10 from both sides.
24x + 10 = 154
24x = 144
Now divide both sides by 24 to get x alone.
24x = 144
x = 6
There is the first part of your answer.
Now to find the area of this shape. You will have to do it in parts.
First, multiply the length times the width for the rectangle. Be careful to include the full measurement.
2x * (6x + 5 + 2x)
2x * (8x + 5)
16x^2 + 10x
****** This is the area of part of the shape. **************************
Now find the area of the square.
2x * 2x = 4x^2
****** This is the area of the area of the second part of the shape. *******
Now add the two areas together.
4x^2 + 16x^2 + 10
20x^2 + 10
So your answers are :
1) x = 6 and
2) 20x^2 + 10 cm^2