हिंदी

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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. 

योग
Advertisements

उत्तर

Let a be the length of each side of the square.
Hence
2a2 = ( diagonal )2

a2 = `(15^2)/(2)`

a2 = 112.5

a = 10.60

Hence

Area = a2
        = 112.5 sq . m

And
Perimeter = 4a = 42.43 m

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 20: Area and Perimeter of Plane Figures - Exercise 20 (B) [पृष्ठ २५५]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 14 | पृष्ठ २५५

संबंधित प्रश्न

Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm and inner dimensions 16 cm × 20 cm. Find the area of each section of the frame, if the width of each section is same.


Find the area of a quadrilateral one of whose diagonals is 30 cm long and the perpendiculars from the other two vertices are 19 cm and 11 cm respectively. 


Trapezium given below; find its area.


A wire when bent in the form of a square encloses an area of 484 m2. Find the largest area enclosed by the same wire when bent to from:

  1. An equilateral triangle.
  2. A rectangle of length 16 m.

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.


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.


How many tiles, each of area 400 cm2, will be needed to pave a footpath which is 2 m wide and surrounds a grass plot 25 m long and 13 m wide? 


The perimeter of a rhombus is 52 cm. If one diagonal is 24 cm; find:
(i) The length of its other diagonal,
(ii) Its area.


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.


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×