Question

If the lengths of two parallel sides of trapezium are 5 cm and 7 cm respectively and its height is 4 cm then the area of trapezium is __________ *

Answer 1

The area of trapezium is 24 sq.cm

Step-by-step explanation:

Given:

length of sides of trapezium = 5cm & 7cm

height of trapezium= 4cm

To find:

area of trapezium

Solution:

The area of the trapezium needs the length of the parallel sides and the height of the trapezium

And the formula for the same is

Area of trapezium= 1 X sum of length of two parallel sides X height of the

                                2                                                                 trapezium

∴ Area of trapezium= 1/2 X (5 + 7) X 4

∴ Area of trapezium= 1/2 X 12 X 4

∴ Area of trapezium= 6 X 4

∴ Area of trapezium= 24 sq.cm

Thus, the area of trapezium is 24 sq.cm

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Answer 2

Answer:

If the lengths of two parallel sides of trapezium are 5 cm and 7 cm respectively and its height is 4 cm then the area of trapezium is $12cm^2$

Step-by-step explanation:

Explanation:

Given in the question, parallel sides of trapezium are 5cm and 7cm.

And the height of the trapezium = 4cm.

As we know area of trapezium = $\frac{a + b}{2 }. h$

Where a  and b are the parallel side of the trapezium and h is the height.

Step 1:

From question we have,

a = 5cm ,  b = 7cm  and c = 4cm.

Now ,area of  trapezium = $\frac{ a+ b}{2}. h$

⇒ Area of trapezium = $\frac{5 + 7}{2} . 4$

⇒ Area of trapezium = 3 × 4 = 12$cm^2$

Final answer:

Hence, the area of trapezium is $12cm^2$.

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