Area of Surveying Fields

Q.

The parallel sides of a trapezium are 25 cm and 13 cm, its non- parallel sides are equal being 10 cm. Find the area of the trapezium.

Q. What is the formula of Trapezium, Cylinder (CSA & LSA), Volume Of cube, Volume of cuboid and others.

Q.

Question 77

Find the area of the following field. All dimensions are in metres.

Q. The area of the trapezium, ABCD, as shown in the figure (in square units)is ___.

1. 222
2. 111
3. 224
4. None of these

Q. ABCD is a trapezium with parallel sides $AB=a$ and $DC=b$. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is:

1. $(a+3b):(3a+b)$
2. $a:b$
3. $(3a+b):(a+3b)$
4. $(2a+b):(3a+b)$

Q.

Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm, and DG = 4 cm.

Q. What is the area of the pentagon using either of the approaches?

1. $80{\text{cm}}^2$
2. $50{\text{cm}}^2$
3. $100{\text{cm}}^2$
4. $160{\text{cm}}^2$

Q. Area of given figure is

1. Area of trapezium TMOU
   + Area of trapezium NQRL
   + Area of $△$POU - Area of $△$TMS
   + Area of $△$SLR + Area of $△$QNP
2. Area of trapezium TMOU
   + Area of trapezium NQRL
   + Area of $△$POU + Area of $△$TMS
   + Area of $△$SLR - Area of $△$QNP
3. Area of trapezium TMOU
   + Area of trapezium NQRL
   + Area of $△$POU + Area of $△$TMS
   + Area of $△$SLR + Area of $△$QNP
4. Area of trapezium TMOU
   - Area of trapezium NQRL
   + Area of $△$POU + Area of $△$TMS
   + Area of $△$SLR + Area of $△$QNP

Q. Find the area of shaded portion.

Q. We will get the same area, by using both the approaches.

1. False
2. True

Q. Find the area of the given field. (all dimensions are in metre)

1. 165 $m^2$
2. 203 $m^2$
3. 189 $m^2$
4. 223 $m^2$

Q. Find the area of the field if CD = 20 m, BE = 30 m, AI = 15 m AE = 25 m, GH = 10 m, CJ = 15 m, GF = 20 m.

1. 375 $m^2$
2. 450 $m^2$
3. 600 $m^2$
4. 825 $m^2$