हिंदी
सी.आई.एस.सी.ई.आईसीएसई ICSE Class 8

The Diagonal of a Square is 12 Cm Long; Find Its Area and Length of One Side. - Mathematics

Advertisements
Advertisements

प्रश्न

The diagonal of a square is 12 cm long; find its area and length of one side.

योग
Advertisements

उत्तर

Let side of square = a cm
diagonal = 12 cm
By Pythagoras Theorem, a2 + a2 = (12)2
2a2 = 144
a2 = 72
Area of square = a2 = 72 cm2
a2 = 72
a = `sqrt(72)` = 8.48 cm

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 20: Area of a Trapezium and a Polygon - Exercise 20 (B) [पृष्ठ २२७]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 20 Area of a Trapezium and a Polygon
Exercise 20 (B) | Q 7 | पृष्ठ २२७

संबंधित प्रश्न

The table given below contains some measures of the square. Find the unknown values.

Side Perimeter Area
? 100 m ?

Your garden is in the shape of a square of side 5 m. Each side is to be fenced with 2 rows of wire. Find how much amount is needed to fence the garden at ₹ 10 per metre


Draw a square B whose side is twice of the square A. Calculate the perimeter of the squares A and B



Measure the side of the red square on the dotted sheet. Draw here as many rectangles as possible using 12 such squares.

How many rectangles could you make?


Three squares are joined together as shown in the following figure. Their sides are 4 cm, 10 cm and 3 cm. Find the perimeter of the figure.


In the following figure, each square is of unit length

  1. What is the perimeter of the rectangle ABCD?
  2. What is the area of the rectangle ABCD?
  3. Divide this rectangle into ten parts of equal area by shading squares. (Two parts of equal area are shown here)
  4. Find the perimeter of each part which you have divided. Are they all equal?

 


Parmindar walks around a square park once and covers 800 m. What will be the area of this park?


The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? What fractional part of the garden is covered by flower bed? Find the ratio of the area covered by the flower bed and the remaining area.


A piece of string is 30 cm long. What will be the length of each side if the string is used to form a square?


Two figures can have the same area but different perimeters.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×