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.

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 22: Area of a Trapezium and a Polygon - Exercise 20 (B) [पृष्ठ २२७]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 22 Area of a Trapezium and a Polygon
Exercise 20 (B) | Q 7 | पृष्ठ २२७

संबंधित प्रश्न

The length of a hall is 18 m and its width is 13.5 m. Find the least number of square tiles, each of side 25 cm, required to cover the floor of the hall,

(i) without leaving any margin.
(ii) leaving a margin of width 1.5 m all around. In each case, find the cost of the tiles required at the rate of Rs. 6 per tile


Sanju completes 10 rounds around a square park every day. If one side of the park is 110 m, then find the distance covered by Sanju in a day in terms of kilometers and meters


1 m = ______ cm.


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?


Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular garden with a length of 60 m and a breadth of 45 m. Who covers less distance?


Avneet buys 9 square paving slabs, each with a side of `1/2` m. He lays them in the form of a square.

  1. What is the perimeter of his arrangement [Fig (i)]?
  2. Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement [(Fig (ii)]?
  3. Which has greater perimeter?
  4. Avneet wonders if there is a way of getting an even greater perimeter. Can you find a way of doing this? (The paving slabs must meet along complete edges i.e. they cannot be broken.)

If each side of a rhombus is doubled, how much will its area increase?


In the following figure, area of (i) is the same as the area of (ii).

(i) (ii)

In the following figure, if (ii) is divided into squares of unit length, then its area is 13 unit squares.

(ii)

If the perimeter of a square is 36 cm, what is the length of one side?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×