Math, asked by vaishnavigayabihar, 3 months ago

3. A rectangle is surrounded by two sets of congruent trapeziums as shown in the
adjacent figure. Find the area covered by each of these trapeziums.
4.6 cm​

Answers

Answered by niyatiinn
0

Answer:  

if We need to get area covered by all trapezium  

then Area = 20.6 * 4.6  - 16.4 * 2  

= 94.76 - 32.8  

= 61.96 cm²  

if We found area of trapezium  one by one  

Sizes of two Trapezium are  

16.4  & 20.6 cm parallel Side  & (4.6 -2)/2 = 1.3 cm height  

2 cm  & 4.6 cm parallel Side  & (20.6 -16.4)/2 = 2.1 cm height  

Area = (1/2)(16.4 + 20.6) * 1.3  = 24.05 cm²

Area covered by 2 = 2 * 24.05 = 48.1 cm²

Area = (1/2)(2 + 4.6)* 2.1 = 6.93 cm²

Area covered by 2 =  2 * 6.93 =  13.86 cm²

Total Area covered = 48.1 + 13.86 = 61.96 cm²

Step-by-step explanation:

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