Introduction about trapezoid shape:
In geometry, a four-sided figure with one pair of parallel sides is referred to as trapezoid. There is also some disagreement on the allowed number of parallel sides in a trapezoid. At issue is whether parallelograms, which have two pairs of parallel sides, should be counted as trapezoids. (Or) the trapezoid is a quadrilateral having exactly one pair of parallel sides, thereby excluding parallelograms. The shape of the trapezoid is shown in the below.
(Source – Wikipedia)
Isosceles Trapezoid:
The isosceles trapezoid has the equal length of parallel side AD and BC and same base angle. It has four internal angles. The sum of its four internal angles is 1800. The shape of the trapezoid is shown below.
Formula to find area of trapezoid shape:
Area of the trapezoid (A) = 1/2 x h x (a + b) square units
The formula for area of both trapezoid and isosceles trapezoid shape are same.
Trapezoid Shape - Example Problems:
1. Find the area of trapezoid whose height 4 cm, side a=8 cm and side b= 13 cm
Solution:
Given:
Height (h) = 4 cm
Side a= 8 cm; b=12 cm
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 4 x (8+12)
=1/2 x 4 x 20
=1/2 x 80
= 80 /2
Area of trapezoid (A) = 40 cm2
2. Find the area of trapezoid whose height 5 cm, side a= 9 cm and side b= 12 cm
Solution:
Given:
Height (h) = 5 cm
Side a= 9 cm; b=12 cm
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 5 x (9+ 12)
=1/2 x 5 x 21
=1/2 x 105
= 105/2
= 52.5
Area of trapezoid (A) = 52.5 cm2
3. Find the area of trapezoid whose height 7 m, side a=11 m and side b= 18 m
Solution:
Given:
Height (h) = 7 m
Side a= 11 m; b=18 m
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 7 x (11+ 18)
=1/2 x 7 x 29
=1/2 x 203
= 203 / 2
= 101.5
Area of trapezoid (A) = 101.5 cm2
I am planning to write more post on geometric probability formula, combination probability formula. Keep checking my blog.
In geometry, a four-sided figure with one pair of parallel sides is referred to as trapezoid. There is also some disagreement on the allowed number of parallel sides in a trapezoid. At issue is whether parallelograms, which have two pairs of parallel sides, should be counted as trapezoids. (Or) the trapezoid is a quadrilateral having exactly one pair of parallel sides, thereby excluding parallelograms. The shape of the trapezoid is shown in the below.
(Source – Wikipedia)
Isosceles Trapezoid:
The isosceles trapezoid has the equal length of parallel side AD and BC and same base angle. It has four internal angles. The sum of its four internal angles is 1800. The shape of the trapezoid is shown below.
Formula to find area of trapezoid shape:
Area of the trapezoid (A) = 1/2 x h x (a + b) square units
The formula for area of both trapezoid and isosceles trapezoid shape are same.
Trapezoid Shape - Example Problems:
1. Find the area of trapezoid whose height 4 cm, side a=8 cm and side b= 13 cm
Solution:
Given:
Height (h) = 4 cm
Side a= 8 cm; b=12 cm
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 4 x (8+12)
=1/2 x 4 x 20
=1/2 x 80
= 80 /2
Area of trapezoid (A) = 40 cm2
2. Find the area of trapezoid whose height 5 cm, side a= 9 cm and side b= 12 cm
Solution:
Given:
Height (h) = 5 cm
Side a= 9 cm; b=12 cm
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 5 x (9+ 12)
=1/2 x 5 x 21
=1/2 x 105
= 105/2
= 52.5
Area of trapezoid (A) = 52.5 cm2
3. Find the area of trapezoid whose height 7 m, side a=11 m and side b= 18 m
Solution:
Given:
Height (h) = 7 m
Side a= 11 m; b=18 m
Formula:
Area of trapezoid (A) = 1/2 x h x (a + b) square units
=1/2 x 7 x (11+ 18)
=1/2 x 7 x 29
=1/2 x 203
= 203 / 2
= 101.5
Area of trapezoid (A) = 101.5 cm2
I am planning to write more post on geometric probability formula, combination probability formula. Keep checking my blog.
