English

The Perimeter of a Rhombus is 46 Cm. If the Height of the Rhombus is 8 Cm; Find Its Area.

Advertisements
Advertisements

Question

The perimeter of a rhombus is 46 cm. If the height of the rhombus is 8 cm; find its area.

Sum
Advertisements

Solution

Let a be the length of each side of the rhombus.
4a = perimeter
4a = 46
a = 11.5 cm

We know that,
Area = Base x Height
         = 11.5 x 8 
         = 92 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 255]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 21 | Page 255

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.


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.


Trapezium given below; find its area.



Trapezium given below; find its area.


The following diagram shows a pentagonal field ABCDE in which the lengths of AF, FG, GH, and HD are 50 m, 40 m, 15 m and 25 m, respectively, and the lengths of perpendiculars BF, CH and EG are 50 m, 25 m and 60 m respectively. Determine the area of the field.


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. 


The area of a rhombus is 216 sq. cm. If it's one diagonal is 24 cm; find:
(i) Length of its other diagonal,
(ii) Length of its side,
(iii) The perimeter of the rhombus.


Using the information in the following figure, find its area.


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

Let P(11, 7), Q(13.5, 4) and R(9.5, 4) be the midpoints of the sides AB, BC and AC respectively of ∆ABC. Find the coordinates of the vertices A, B and C. Hence find the area of ∆ABC and compare this with area of ∆PQR.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×