English

Trapezium Given Below; Find Its Area. - Mathematics

Advertisements
Advertisements

Question

Trapezium given below; find its area.

Sum
Advertisements

Solution


Area of ΔEBC = `1/4 xx 8 xx sqrt( 4 xx 10^2 - 8^2 )`

= `1/4 xx 8 xx 18.3`
= 36.6 cm2

Again
Area of ΔEBC = `1/2` x 8 x h

              36.6 = 4h
                  h = 9.15

Area of ABCD = `1/2 xx ( 12 + 20 ) xx 9.15`

                       = `1/2` x 32 x 9.15

                       = 146.64 sq.cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (B) [Page 256]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 27.1 | Page 256

RELATED QUESTIONS

The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.


A rectangular plot of land measures 45 m x 30 m. A boundary wall of height 2.4 m is built all around the plot at a distance of 1 m from the plot. Find the area of the inner surface of the boundary wall.


ABCD is a square with each side 12 cm. P is a point on BC such that area of  ΔABP: area of trapezium APCD = 1: 5. Find the length of CP.


The perimeter of a rectangular board is 70 cm. Taking its length as x cm, find its width in terms of x.
If the area of the rectangular board is 300 cm2; find its dimensions.


The length and the breadth of a rectangle are 6 cm and 4 cm respectively. Find the height of a triangle whose base is 6 cm and the area is 3 times that of the rectangle.


The figure given below shows the cross-section of a concrete structure. Calculate the area of cross-section if AB = 1.8 cm, CD = 0.6 m, DE = 0.8 m, EF = 0.3 m and AF = 1.2 m.


The perimeter of a semicircular plate is 108 cm. find its area. 


Find the area of a quadrilateral field whose sides are 12m, 9m, 18m and 21m respectively and the angle between the first two sides is a right angle. Take the value of `sqrt(6)` as 2.5.


Find the diagonal of a quadrilateral whose area is 756cm2 and the perpendicular from the opposite vertices are 17cm and 19cm.


The quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×