Area of a Trapezium
Area of a Trapezium: Overview
This Topic covers sub-topics such as Area of Trapezium, Methods to Find Formula for Area of Trapezium and, Method to Find Formula for Area of Trapezium by Dividing it into Triangle(s) and a Rectangle
Important Questions on Area of a Trapezium
If the values of perimeter and sum of lengths of the parallel sides of an isosceles
trapezium are given, can we find the length of the other two sides?
Mason Nagaraj measured the distance around a trapezoidal plot and found it to be 203ft. What is this measurement known as?
Two symmetrical trapeziums are joined together to form aboard which is in the shape of a hexagon. The area of the board is _____$ \text{c}{m}^{2}$.
ABCD is a square of side 6 cm. If M is the mid-point of BC, area of ABMD $ =$_____$ \text{c}{m}^{2}$.
There is a 12 ft by 12 ft fountain in the middle of a 30 ft by 30 ft square ground. The fountain is surrounded by 4 seating ledges as shown in the figure above.
The area of each of the seating ledge is _____$ \text{f}{t}^{2}$.
The area of a trapezium is 312 $ {m}^{2}$and its height is 6 m. If the difference between 2 of its lengths of the parallel sides is 12 m, the longer parallel side is _____m.
In what way will the area of a trapezium change, if you double the length of both its parallel sides?
In what way will the area of a trapezium change, if you double its height?
The parallel sides of the wings of a Boeing aircraft measures 13 ft and 54 ft respectively. The perpendicular height between the parallel lines of the wing is 80 ft. What is the area of each wing?
The area of the trapezium ABCD is 108 $ c{m}^{2}$. The length of CD $ =$_____cm.
The area of the board displayed above is 1.54 $ {m}^{2}$. What is the total length of the parallel sides?
The area of this coir mat $ =$_____ sq. inch.
The area of a trapezium is 264 $ c{m}^{2}$. One parallel side of the trapezium is longer than the other by 12 cm. If the height of the trapezium is 12 cm, the length of the shorter parallel side is _____cm.
If the area of the above given trapezium is 294 $ c{m}^{2}$, the length of its longer parallel side = _____cm.
The length of 2 parallel sides of a trapezium is 29 cm and 24 cm respectively and the perpendicular distance between them is 16 cm. The area of the trapezium is _____$ c{m}^{2}$.
What is the correct formula to find altitude ‘h’ of the above given isosceles trapezium?
Fill in the blanks in the following statements :
Area of trapezoidal region = _____ (sum of parallel sides distance between them)
A garden is in the shape of a regular octagon. There are four square water bodies inside the outermost region has wide pavement.
If the area of the pavement is , then find the value of .
Find the height of a trapezium whose area is and the summation of its parallel sides is .
If the area of the given trapezium is , find the value of .
