Answer:
<u>364 cm²</u>
Step-by-step explanation:
Area of the figure :
- Area (triangle) + Area (rectangle 1) + Area (rectangle 2) + Area (rectangle 3)
- 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
- 140 + 108 + 21 + 95
- 248 + 21 + 95
- 269 + 95
- <u>364 cm²</u>
Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression 
To find the perimeter, we multiply this expression by 4.

We expand to obtain:

This simplifies to:

The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
Since we know y=mx+c, ∴y=-2/5x+c. Sub in the x and y values of the given point and we get that c=26/5.
The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
Substitution
y = 2x - 12
y = -x + 3
-x + 3 = 2x - 12
+ x + x
-----------------------------
3 = 3x - 12
+ 12 + 12
-----------------------
15 = 3x
------ ------
3 3
x = 5
y = 2(5) - 12
y = 10 - 12
y = -2
The final answer is (5,-2).