How many solutions does this system of equations have?
1 answer:
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Draw a rectangle, draw a line in middle. This is a halve.
<span>Draw another rectangle, draw two lines. This is thirds.</span>
<span>Draw another rectangle, draw two lines but in a "+" type of way.. This is fourths.</span>
<span>Draw another rectangle, draw two lines. This is thirds.</span>
<span>Draw another rectangle, draw two lines but in a "+" type of way.. This is fourths.</span>
Answer:
Part a) The area of the figure is
Part b) The perimeter of the figure is
Step-by-step explanation:
Step 1
Find the area of the figure
In this problem we have that
The figure ABC is the half of a square and the other figure is a semicircle
<u>Find the area of the figure ABC</u>
we have
The area of the half square ABC is equal to find the area of triangle ABC
so
<u>Find the area of the semicircle</u>
The area of the semicircle is equal to
we have that
substitute
The area of the figure is equal to
Step 2
Find the perimeter of the figure
The perimeter of the figure is equal to
we have
Applying Pythagoras theorem
Remember that
the circumference of a semicircle is equal to
The perimeter of the figure is equal to
Simplify