Trapezoid and its Perimeter

Q. A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of $7\frac{1}{2}$ square units. If the height of each parallelogram is $1\frac{1}{3}$ units, then find the base of each of them.

1. $4\frac{1}{2}$ units
2. $2\frac{13}{10}$ units
3. $3\frac{13}{16}$ units
4. $2\frac{13}{16}$ units

Q. Find the perimeter of the trapezoid shown below.

1. $26$ units
2. $39$ units
3. $31$ units
4. $30$ units

Q. Find the area of the given parallelogram.

1. $18m^2$
2. $9m^2$
3. $36m^2$

Q. Find the perimeter of the trapezoid given below.

1. 29 m
2. 34 m
3. 28 m
4. 30 m

Q. The isosceles trapezoid has bases of 20 unit and 27 unit respectively. Determine the circumference of this trapezoid if the other side of trapezoid measures 21 unit.

1. 88 unit
2. 68 unit
3. 89 unit
4. 90 unit

Q. Which of the following option(s) is/are true for properties of a trapezoid?

1. The top and bottom sides of a trapezoid are parallel to each other.
2. A trapezoid is a type of quadrilateral
3. The top and bottom sides of a trapezoid are always equal to each other.
4. A trapezoid has four sides.

Q. The perimeter of the trapezoid given below is 31 m. Find the value of x.

1. 6 m
2. 7 m
3. 8 m
4. 9 m

Q. Find the length of the side $DA$ if the perimeter of the trapezoid is $30$ units.

1. $6$ units
2. $7$ units
3. $8$ units
4. $5$ units

Q. The area of a parallelogram is $576c{m}^2$. If the height of the parallelogram is $12cm$, find the length of the base.

1. $49cm$
2. $47cm$
3. $48cm$
4. $45cm$

Q. A trapezoidal window has its bases as 35 cm and 28 cm respectively. The length of its opposite sides are x and 1.5x.
Find the value of x if the perimeter of the window is 111 cm.

1. 21 cm
2. 20 cm
3. 28 cm
4. 20 cm