Mathematics
Grade9
Easy
Question
Find the area of the following trapezoid (Unit is square m.):
- 108 × m2
- 252 × m2
- 202 × m2
- 260 × m2
The correct answer is: 252 × m2
252 m sq
Area of a trapezoid = ½ x sum of parallel sides x distance between them.
In this question, the distance between them is not given. Since this is an isosceles trapezoid, we can calculate the length of the height.
Lets drop a perpendicular to the 26 m base side to make a right angled triangle.
Base of the triangle = (26-16)/2 = 5 m
Hypotenuse of the triangle = 13 m
Height of the triangle = √(13* 13 – 5*5)= 12 m
Area of the trapezoid = 1/2x(16 + 26 ) x 12 = 252 sq m
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