Geometry is the mathematics that deals with measurement, properties and relationships of lines, points, angles, surfaces, and solids. In geometry trapezoid is a shape that has a pair of opposite sides of parallel, the oter two sides would not be parallel. The shape of the trapezoid differs but it should satisfy the property of pair of opposite sides are parallel. Let us take several geometry practice trapezoid probblems.
Trapezoid
Geometry practice trapezoids:
Problem for Geometry practice trapezoids
Example 1 :
Find the area of the trapezoid of base b1 = 5cm, b2 = 6 cm and height of the trapezoid is 7 cm.
Trapezoid
Solution:
The b1= 5cm, b2 = 6 cm and height h = 7 cm.
The area of a trapezoid is one-half the height h times the sum of the base lengths b1 and b2 .
Area of the trapezoid = `1/2 ` (b1 +b2)* h square units.
= `1/2` (5 + 6) * 7
= `1/2` * 11 * 7
= `77/2`
= 38.5 cm2
Area of the trapezoid is equal to 38.5 cm2
Example 2:
Find the area of the trapezoid of base b1 = 4cm, b2 = 7 cm and height of the trapezoid is 7 cm.
Trapezoid
Solution:
The b1= 4cm, b2 = 7 cm and height h = 7 cm.
The area of a trapezoid is one-half the height h times the sum of the base lengths b1 and b2 .
Area of the trapezoid = `1/2 ` (b1 +b2)* h square units.
= `1/2` (4 + 7) * 7
= `1/2` * 11 * 7
= `77/2`
= 38.5 cm2
Area of the trapezoid is equal to 38.5 cm2
More problems on geometry practice trapezoids:
Example 3:
Find the perimeter of the trapezoid if the four sides of the trapezoid are given as 5 cm, 7 cm, 4 cm, 6 cm.
Trapezoid
TRAPEZOID
solution:
Given the four sides of the trapezoid as a = 5cm, b = 7cm, c = 4cm, d = 6cm.
The perimeter of the trapezoid (P)= a+b+c+d square units
= 5 + 7 + 4 +6
= 22 cm2
Example 4:
Find the perimeter of the trapezoid if the four sides of the trapezoid are given as 6 cm, 7 cm, 4 cm, 5 cm.
Trapezoid
TRAPEZOID
solution:
Given the four sides of the trapezoid as a = 6cm, b = 7cm, c = 4cm, d = 5cm.
The perimeter of the trapezoid (P)= a+b+c+d square units
= 6 + 7 + 4 + 5
= 22 cm2
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