English

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

Advertisements
Advertisements

Question

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.

Sum
Advertisements

Solution

Area of the rectangle is given by

A = l x b

   = 6 x 4

   = 24 sq . cm

Let h be the height of the triangle ,then 

`1/2 xx "base" xx h = 3"A"`

`1/2 xx  6 xx h = 3 xx 24` 

                  h = 24 cm

 

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 7 | Page 255

RELATED QUESTIONS

Trapezium given below; find its area.


A floor that measures 15 m x 8 m is to be laid with tiles measuring 50 cm x 25 cm. Find the number of tiles required.
Further, if a carpet is laid on the floor so that a space of 1 m exists between its edges and the edges of the floor, what fraction of the floor is left uncovered?


The shaded region of the given diagram represents the lawn in the form of a house. On the three sides of the lawn, there are flowerbeds having a uniform width of 2 m.

(i) Find the length and the breadth of the lawn.
(ii) Hence, or otherwise, find the area of the flower-beds.


The floor of a room is of size 6 m x 5 m. Find the cost of covering the floor of the room with 50 cm wide carpet at the rate of Rs.24.50 per metre. Also, find the cost of carpeting the same hall if the carpet, 60 cm, wide, is at the rate of Rs.26 per metre.


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.


Find the area of quadrilateral PQRS.


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

Vertices Area (sq.units)
(0, 0), (p, 8), (6, 2) 20

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

If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×