Square: It is defined as a four sided shape that is made up of four straight sides that are the same lengths and that has four right angles.
Triangle: The plane figure formed by connecting three points not in a straight line by straight line segments like a three sided polygon.
Rectangle: The plane figure formed with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Circle: A line that is curved so that its ends meet and every point on the line is the same distance from the centre.
Quadrilateral: Quadrilateral means four sided flat shape.
\(A = L^{2}\)
Example:
Given a square where the length of each side (edge) is 5cm. Find the area of this square.
Solution:
\(A = lw\)
Example:
Given a rectangle with the length of 4ft and the width of 3ft. Find its area.
Solution:
\(A = \pi r^{2}\)
Where \(\pi\) is constant that is approximately equals to 3.14.
Example:
Given a circle with the radius 3cm. Find its area. Take \(\pi\) = 3.14.
Solution:
\(A = bh\)
Example:
Given a parallelogram with the base 5 in and the height 3 in. Find the area of this parallelogram.
Solution:
\(A = \frac{1}{2}bh\)
Example:
Given a triangle with the base 4cm and the height 2cm. Find its area.
Solution:
\(A = (\frac{a + b}{2})h\)
Example:
Given a trapezoid with the height of 4 in, and two parallel sides of 2 in and 3 in respectively. Calculate its area.
Solution:
2. The perimeter of two squares are 60 cm and 44 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of two squares?
Solution:
3. Find the area of the square, one of whose diagonals is 6 m long?
Solution:
4. If the length of a certain rectangle is decreased by 5 cm and the width is increased by 4 cm, a square with the same area as the original rectangle would result . Find the perimeter of the original rectangle?
Solution:
5. Find the area of the triangle whose base sides measure 10 cm, 13 cm and 15 cm?
Solution: