Question

The parallel sides of a Trapezium are 65 cm and 49 cm and each of the non parallel side is 10 cm, find the area of trapezium ​

Answer 1

✬ Area = 570 cm² ✬

Step-by-step explanation:

Given:

• Parallel sides of Trapezium are 65 cm and 49 cm.
• Measure of non parallel side i.e height of trapezium is 10 cm.

To Find:

• What is the area of trapezium ?

Solution: Let ABCD be a trapezium where ,

• AB = 65 cm
• DC = 49 cm
• DE = 10 cm (Height)
• AB || DC

As we know that the

★ Area of Trapezium = 1/2 (Sum of parallel sides) $\times$ (Distance between them) ★

$\implies{\rm }$ 1/2 ( AB + DC ) $\times$ ( DE )

$\implies{\rm }$ 1/2 ( 65 + 49 ) $\times$ 10

$\implies{\rm }$ 5 $\times$ 114

$\implies{\rm }$ 570 cm²

Hence, the area of trapezium is 570 cm².

Answer 2

GIVEN:

• The parallel sides of a Trapezium are 65 cm and 49 cm
• The non parallel side (height) of the trapezium is 10 cm

TO FIND:

• What is the area of the trapezium ?

FORMULA USED:

$\large\bf{\star \: Area = \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times height \: \star}$

SOLUTION:

We have given that, the parallel sides of a Trapezium are 65 cm and 49 cm and each of the non parallel side is 10 cm

Now,

According to question:-

$\rm{\dashrightarrow Area = \dfrac{1}{2} \times (65 + 49) \times 10 }$

$\rm{\dashrightarrow Area = \dfrac{1}{\cancel{2}} \times \cancel{114} \times 10 }$

$\rm{\dashrightarrow Area = 57 \times 10}$

$\bf{\star \: Area = 570 \: cm^2 \: \star}$

❝ Hence, the area of trapezium is 570 cm² ❞

______________________

VERIFICATION:

Put the values in the formula

$\bf{\dashrightarrow 570 = \dfrac{1}{2} \times (65 + 49) \times 10 }$

$\bf{\dashrightarrow 570 = \dfrac{1}{\cancel{2}} \times \cancel{114} \times 10 }$

$\bf{\dashrightarrow 570 = 57 \times 10}$

$\bf{\star \: 570 = 570 \: \star}$

VERIFIED....