find the area enclosed by each of the following figures
Answers
Answer:
orrect option is A)
Figure (i)
From the figure we can write,
Area of figure = Area of trapezium + Area of rectangle.
=
2
1
×( Sum of lengths of parallel sides )× altitude + Length × Breadth
=
2
1
(18+7)×8+18×18
=
2
1
×(25)×8+324
=100+324
=424
∴ Area of figure is 424cm
2
Figure (ii)
From the figure we can write,
Area of figure = Area of trapezium + Area of rectangle.
=
2
1
×( Sum of lengths of parallel sides )× altitude + Length × Breadth
=
2
1
(15+6)×8+15×20
=84+300
=384
∴ Area of figure is 384cm
2
Figure (iii)
Using Pythagoras theorem in the right angled triangle.
⇒ 5
2
=4
2
+x
2
⇒ x
2
=25−16
⇒ x
2
=9
∴ x=3cm
From the figure we can write,
Area of figure = Area of trapezium + Area of rectangle.
=
2
1
×( Sum of lengths of parallel sides )× altitude + Length × Breadth
=
2
1
(14+6)×3+4×6
=30+24
=54
∴ Area of figure is 54cm
2
.
Answer:
I hope it helps mark me brainliest
Step-by-step explanation:
=424
