मराठी

Pqrs is a Rectangle in Which Pq = 12cm and Ps = 8cm. Calculate the Area of δPrs. - Mathematics

Advertisements
Advertisements

प्रश्न

PQRS is a rectangle in which PQ = 12cm and PS = 8cm. Calculate the area of ΔPRS.

बेरीज

उत्तर


Since PQRS is a rectangle, therefore PQ = SR.
SR = 12cm
PS = 8cm

ar(ΔPRS) = `(1)/(2) xx "base" xx "height"`

ar(ΔPRS) = `(1)/(2) xx "SR" xx "PS"`

ar(ΔPRS) = `(1)/(2) xx 12 xx 8`

ar(ΔPRS) = 48cm2.

shaalaa.com
Types of Quadrilaterals
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 21: Areas Theorems on Parallelograms - Exercise 21.1

APPEARS IN

फ्रँक Mathematics [English] Class 9 ICSE
पाठ 21 Areas Theorems on Parallelograms
Exercise 21.1 | Q 2

संबंधित प्रश्‍न

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that

  1. ∠A = ∠B
  2. ∠C = ∠D
  3. ΔABC ≅ ΔBAD
  4. diagonal AC = diagonal BD

[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]


ABCD is a rectangle with ∠ABD = 40°. Determine ∠DBC .


In parallelogram ABCD, AP and AQ are perpendiculars from the vertex of obtuse angle A as shown.
If  ∠x: ∠y = 2: 1.

find angles of the parallelogram.


State, 'true' or 'false'
The diagonals of a quadrilateral bisect each other.


State, 'true' or 'false'
The diagonals of a parallelogram bisect each other at right angle.


State, 'true' or 'false' 
Every parallelogram is a rhombus.


In the figure, PT is parallel to SR. QTSR is a parallelogram and PQSR is a rectangle. If the area of ΔQTS is 60cm2, find:
(i) the area o || gm QTSR
(ii) the area of the rectangle PQRS
(iii) the area of the triangle PQS.


In the figure, ABCD is a parallelogram and APD is an equilateral triangle of side 80cm, Calculate the area of parallelogram ABCD.


If the medians of a ΔABBC intersect at G, show that ar(ΔAGB) = ar(ΔAGC) = ar(ΔBGC) = `(1)/(3)"ar(ΔABC)"`.


In the given figure, ABC is a triangle and AD is the median.

If E is any point on the median AD. Show that: Area of ΔABE = Area of ΔACE.


In the given figure, ABC is a triangle and AD is the median.

If E is the midpoint of the median AD, prove that: Area of ΔABC = 4 × Area of ΔABE


Find the perimeter and area of a rectangle whose length and breadth are 12cm and 9cm respectively.


A rectangular field 240m long has an area 36000m2. Find the cost of fencing the field at Rs.2.50per m.


The area of a square garden is equal to the area of a rectangular plot of length 160m and width 40m. Calculate the cost of fencing the square garden at Rs.12per m.


The perimeter of a square is 128cm and that of another is 96cm. Find the perimeter and the diagonal of a square whose area is equal to the sum of the areas of these two squares.


Find the area of a rhombus, whose one side and one diagonal measure 20cm and 24cm respectively.


The perimeter of a rectangular plot is 300m. It has an area of 5600m2. Taking the length of the plot as x m, calculate the breadth of the plot in terms of x, form an equation and solve it to find the dimensions of the plot.


Give reason for the following :

Squares, rectangles, parallelograms are all quadrilaterals. 


A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×