Answer:
137 m²
Formula's:
- area of rectangle: length + width
- area of triangle: 1/2 * base * height
Explanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer:
6x, 2x + 4, 5y + 11
Step-by-step explanation:
x + x + x + 2x + x = 6x
(x + 2) + (x + 2) = 2x + 4
y + y + y + y + 10 + y + 1 = 5y + 11
Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem = 
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b = 
b = 
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.
Formula for trapezoid area is A=b1+b2 x heightx 1/2 so your answer would be 161m squared
Answer:
The answer is option D.
Step-by-step explanation:
cos M = adjacent / hypotenuse
From the picture
b is the adjacent
x is the hypotenuse
so
cos M = b/x
Hope this helps you