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The parallel sides of a trapezium are 25 cm and13
cm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.
a)142 cm
b)152 cm2
c)152 cm
d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
Area of trapezium= 1/2*d*(a+b) sq. Units.
Where d= perpendicular distance between parellel sides which are a & b respectively, 25 &13 cm.
25–13=12, 12/2= 6 cm is base of RT. Angled ∆.
Non parallel sides=10cm, this is hypotenuese of this ∆.
Find ‘d ‘ to solve.
d=√{10^2–6^2}=8 cm.
Area of trapezium= 1/2*8*(25+13)=152 cm^2
Most Upvoted Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
To find the area of a trapezium, we can use the formula:
Area = (a + b) * h / 2
Where:
a and b are the length of the parallel sides
h is the height or the perpendicular distance between the parallel sides
Given:
The parallel sides of the trapezium are 25 cm and 13 cm.
The non-parallel sides are equal, each being 10 cm.
Let's calculate the height of the trapezium first.
Since the non-parallel sides are equal, the trapezium can be divided into two congruent triangles. Let's consider one of these triangles.
The base of the triangle is 10 cm, and the height is the distance between the parallel sides.
Using the Pythagorean theorem, we can find the height:
h^2 = (25 - 13)^2 + 10^2
h^2 = 12^2 + 10^2
h^2 = 144 + 100
h^2 = 244
h = √244
h ≈ 15.62 cm
Now that we have the height, we can calculate the area of the trapezium:
Area = (a + b) * h / 2
Area = (25 + 13) * 15.62 / 2
Area = 38 * 15.62 / 2
Area ≈ 593.56 / 2
Area ≈ 296.78 cm^2
So, the area of the trapezium is approximately 296.78 cm².
Therefore, the correct answer is option B) 152 cm².
Area = (a + b) * h / 2
Where:
a and b are the length of the parallel sides
h is the height or the perpendicular distance between the parallel sides
Given:
The parallel sides of the trapezium are 25 cm and 13 cm.
The non-parallel sides are equal, each being 10 cm.
Let's calculate the height of the trapezium first.
Since the non-parallel sides are equal, the trapezium can be divided into two congruent triangles. Let's consider one of these triangles.
The base of the triangle is 10 cm, and the height is the distance between the parallel sides.
Using the Pythagorean theorem, we can find the height:
h^2 = (25 - 13)^2 + 10^2
h^2 = 12^2 + 10^2
h^2 = 144 + 100
h^2 = 244
h = √244
h ≈ 15.62 cm
Now that we have the height, we can calculate the area of the trapezium:
Area = (a + b) * h / 2
Area = (25 + 13) * 15.62 / 2
Area = 38 * 15.62 / 2
Area ≈ 593.56 / 2
Area ≈ 296.78 cm^2
So, the area of the trapezium is approximately 296.78 cm².
Therefore, the correct answer is option B) 152 cm².
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Community Answer
The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-...
Area of trapezium= 1/2*d*(a+b) sq. Units.
Where d= perpendicular distance between parellel sides which are a & b respectively, 25 &13 cm.
25–13=12, 12/2= 6 cm is base of RT. Angled ∆.
Non parallel sides=10cm, this is hypotenuese of this ∆.
Find ‘d ‘ to solve.
d=√{10^2–6^2}=8 cm.
Area of trapezium= 1/2*8*(25+13)=152 cm^2
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The parallel sides of a trapezium are 25 cm and13 ... morecm. Its non-parallel sides are equal, eachbeing 10 cm. Find the area of the trapezium.a)142 cmb)152 cm2c)152 cmd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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