Given:
The two shapes P and Q on a coordinate plan.
To find:
(a) The area of shape P.
(b) Mathematical name of quadrilateral Q.
Solution:
(a)
From the given figure, it is clear that shape P is a triangle.
Area of a triangle is
[tex]A=\dfrac{1}{2}\times Base\times Height[/tex]
Area of triangle P whose base is 4 and height is 6, is
[tex]A=\dfrac{1}{2}\times 4\times 6[/tex]
[tex]A=\dfrac{24}{2}[/tex]
[tex]A=12[/tex]
So, the area of shape P is 12 sq. units.
(b)
In quadrilateral Q, two pairs of congruent sides are adjacent to each other.
So, Q is a kite.
Therefore, the mathematical name of quadrilateral Q is kite.
