English

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.

Advertisements
Advertisements

Question

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.

Sum
Advertisements

Solution

The diagram is redrawn as follows:


Here

AF = 1.2 m, EF = 0.3m, DC = 0.6m, BK = 1.8 - 0.6 - 0.3 = 0.9 m

Hence,

Area of ABCDEF = Area of AHEF + Area of HKCD + ΔKBC

= 1.2 × 0.3 + 2 × 0.6 + `1/2` × 2 × 0.9

= 0.36 + 2.1

= 2.46 sq.m

shaalaa.com
  Is there an error in this question or solution?
Chapter 19: Area and Perimeter of Plane Figures - Exercise 20 (B) [Page 255]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 19 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 22 | Page 255

RELATED QUESTIONS

A wire when bent in the form of a square encloses an area = 576 cm2. Find the largest area enclosed by the same wire when bent to form;
(i) an equilateral triangle.
(ii) A rectangle whose adjacent sides differ by 4 cm.


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.


A footpath of uniform width runs all around the outside of a rectangular field 30 m long and 24 m wide. If the path occupies an area of 360 m2, find its width.


The cost of enclosing a rectangular garden with a fence all around, at the rate of 75 paise per metre, is Rs. 300. If the length of the garden is 120 metres, find the area of the field in square metres. 


Two adjacent sides of a parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm; find the distance between the shorter sides.


Two adjacent sides of a parallelogram are 28 cm and 26 cm. If one diagonal of it is 30 cm long; find the area of the parallelogram. Also, find the distance between its shorter sides.


The rate for a 1.20 m wide carpet is Rs. 40 per meter; find the cost of covering a hall 45 m long and 32 m wide with this carpet. Also, find the cost of carpeting the same hall if the carpet, 80 wide, is at Rs. 25. Per meter. 


Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 meters. Given your answer correct to 2 places of decimals. 


Vertices of given triangles are taken in order and their areas are provided aside. Find the value of ‘p’.

Vertices Area (sq.units)
(p, p), (5, 6), (5, –2) 32

Find the area of the quadrilateral whose vertices are at (– 9, 0), (– 8, 6), (– 1, – 2) and (– 6, – 3)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×