Answer:

Step-by-step explanation
We have given that equation of line a+4b=0
⇒4b= -a
⇒
slope of line = 
⇒
is negative therefore it lies into 4th quadrant
By, Pythagoras theorem 
by putting value of P= -1 & B=4
the value of
with the given condition 
i.e.
∈ (3π/2, 2π)
now, 
Answer:
3(4+√2)
Step-by-step explanation:
Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .
<u>•</u><u> </u><u>Using</u><u> </u><u>Pyth</u><u>agoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
⇒ h² = p² + b²
⇒ h² = 3² + 3²
⇒ h² = 9 + 9
⇒ h² = 18
⇒ h = √[ 9 × 2 ]
⇒ h = 3√2 .
Therefore the perimeter will be ,
⇒ P = 3√2 + 3 + 3 + 3 + 3
⇒ P = 3√2 + 12
⇒ P = 3( 4 + √2)
<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>3</u><u>(</u><u>4</u><u>+</u><u>√</u><u>2</u><u>)</u><u> </u><u>.</u></h3>
Answer:
The perimeter of the garden, in meters, is 
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that
, side s. So





Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So

So, in simplest radical form:

Perimeter of the garden:
The perimeter of a square with side of s units is given by:

In this question, since 

The perimeter of the garden, in meters, is 
Step-by-step explanation:
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