a.
To find the area of a trapezoid AXDF by dividing it into
a.

Answer to Problem 22PSB
The area of a trapezoid AXDF is
Explanation of Solution
Given:
In Trapezoid AXDF,
Formula Used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
Calculation:
In an isosceles trapezoid any upper base
Draw altitude
In right angled
Similarlyin right angled
b.
To find the area of a trapezoid ABCD by dividing it into triangle AEB, triangle DFC and rectangle EBCFwith side AD as 14 and side BC as 8.
b.

Answer to Problem 22PSB
The area of a trapezoid ABCD is
Explanation of Solution
Given:
In Trapezoid ABCD,
Formula Used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
Calculation:
Draw altitude
If corresponding angles are congruent, then corresponding sides are also congruent.
c.
To compute the area of a trapezoidBADC by dividing it into triangle BXA, triangle CYD and rectangle BXYCwith angle A as
c.

Answer to Problem 22PSB
The area of a trapezoid BADC is
Explanation of Solution
Given:
In Trapezoid BADC,
Formula Used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
Calculation:
Draw altitude
If corresponding angles are congruent, then corresponding sides are also congruent.
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