A trapezoid is also known as a trapezium is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.
The parallel sides are known as the bases and the non-parallel sides are known as the legs of the trapezoid.
Area of trapezoid = (1/2) h (a + b)
Here a and b area parallel sides and h is height.
Perimeter of the trapezoid = Sum of length of all sides.
Find the area of each figure. Round to the nearest tenth if necessary.
Problem 1 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (9 + 12)/2 × 10
= (21/2) × 10
= 105 cm²
So, the area of trapezoid is 105 cm².
Problem 2 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (3 + 1.5)/2 × 2
= (4.5/2) × 2
= 4.5 ft²
So, the area of trapezoid is 4.5 ft².
Problem 3 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (18 + 12)/2 × 10
= (30/2) × 10
= 150 mm²
So, the area of trapezoid is 150 mm².
Problem 4 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (6.5 + 3)/2 × 4
= (9.5/2) × 4
= 19 ft²
So, the area of trapezoid is 19 ft².
Problem 5 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (2 + 9.2)/2 × 7
= (11.2/2) × 7
= 39.2 cm²
So, the area of trapezoid is 39 cm².
Problem 6 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (24 + 8)/2 × 20.7
= (32/2) × 20.7
= 331.2 mm²
So, the area of trapezoid is 331 mm².
Problem 7 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (25 + 20.1)/2 × 12
= (45.1/2) × 12
= 270.6 ft²
So, the area of trapezoid is 271 ft².
Problem 8 :
Solution :
Area of trapezoid = (a + b)/2 × h
= (5.6 + 3.2)/2 × 6.9
= (8.8/2) × 6.9
= 30.36 in²
So, Area of trapezoid is 30.4 in².
Problem 9 :
Trapezoid: bases 22.8 mm and 19.7 mm, height 36mm
Solution :
Area of trapezoid = (a + b)/2 × h
= (22.8 + 19.7)/2 × 36
= (42.5/2) × 36
= 765 mm²
So, Area of trapezoid is 765 mm².
Problem 10 :
Trapezoid: bases 5 ft and 3.5 ft, height 7 ft
Solution:
Area of trapezoid = (a + b)/2 × h
= (5 + 3.5)/2 × 7
= (8.5/2) × 7
= 29.75 ft²
So, Area of trapezoid is 30 ft².
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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