Slope = -4/5
to calculate the slope m use the gradient form
m = y2 -y1
————
x2 - x1
let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)
m = 5 - 1 4
———- = ——-
-2 - 3 -5
= - 4/5
Answer: perimeter = 96mm, Area = 564mm².
Step-by-step explanation:
From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x
Therefore,
25² = ײ + 7²
625 = x² + 49
x² = 625 - 49
x² = 576
x. = √576
= 24.
Now the perimeter
= 20 + 25 + 7 + 20 + 24
= 96mm.
Area of the figure will be
= 1/2( a + b )h
Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values
( 20 + 27) x 24
---------------------
2
= 47 x 24/2
= 47 x 12
= 564mm²
Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:
Then, you need to substitute this lenght and this width into :
Now, apply Distributive property:
Finally, you need to add the like terms. Then, you get:
Answer:
21.2 or 15 sqrt of 2 (PETHAGOREOM theorem)
Step-by-step explanation:
a^2+b^2=c^2
20^2+5^2=C^2
400+25=C^2
450=C^2
sqrt 450=
15 sqrt of 2 or 21.2
