Answer:
3rd option - 14 m²
Step-by-step explanation:
First we know that the square's area will be 2×2 = 4
To calculate the area of a triangle we know the vertical height is 2.5 and the base length is 2 so we can use the formula b×h/2 to give the area of one triangle:
2.5×2 = 5
5÷2 = 2.5
So the area of 1 triangle is 2.5 m²
Since there are 4 triangles we multiply the area of 1 traingle by 4:
2.5×4 = 10
We add the area of the 4 triangles to the area of the square to give our final answer of :
10 + 4 = 14
14 m²
We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches.
Answer:
a = 
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 9² = 12²
a² + 81 = 144 ( subtract 81 from both sides )
a² = 63 ( take square root of both sides )
a =
