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Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is \( l \), how many laddus did she make?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:44

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Given:Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. The number of laddus mother gave away is \( l \).To do:We have to find the number of laddus she made.Solution:Number of laddus remaining $=5$Number of laddus given away by mother $=l$This implies, ... Read More

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be \( x \), what is the number of oranges in the larger box?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:44

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Given:Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. The number of oranges in a small box is taken to be \( x \).To do:We have to find the ... Read More

(a) Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint : If you remove the vertical stick at the
end, you will get a pattern of Cs.)

(b) The below figure gives a matchstick pattern of triangles. As in Exercise 11 (a) above

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:44

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To do:We have to find the general rule that gives the number of matchsticks in each case.Solution:(a) We can observe that, In the given pattern, the number of matchsticks are 4, 7, 10, 13, ......$4=3\times1+1$$7=3\times2+1$$10=3\times3+1$ $13=3\times4+1$Therefore, the number of matchsticks $=3\times$ number of squares in the pattern $+1$The required pattern ... Read More

Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
(a) A pattern of letter \( T \) as
(b) A pattern of letter \( \mathrm{Z} \) as
(c) A pattern of letter \( \mathrm{U} \) as
(d) A pattern of letter \( \mathrm{V} \) as
(e) A pattern of letter \( \mathrm{E} \) as
(f) A pattern of letter \( S \) as
(g) A pattern of letter A as "

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:34

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To do:We have to find the rule which gives the number of matchsticks required to make the given matchstick patterns.Solution:(a) A pattern of letter \( T \) as From the figure, we observe that two matchsticks are required to make the letter T.Therefore, the required pattern is $2n$.(b) A pattern of ... Read More

How many tiles whose length and breadth are \( 12 \mathrm{~cm} \) and \( 5 \mathrm{~cm} \) respectively will be needed to fit in a rectangular region whose length and breadth are respectively:
(a) \( 100 \mathrm{~cm} \) and \( 144 \mathrm{~cm} \)
(b) \( 70 \mathrm{~cm} \) and \( 36 \mathrm{~cm} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:33

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To do:We have to find the number of tiles needed to fit in the rectangular regions whose length and breadth are respectively:(a) $100\ cm$ and $144\ cm$ (b) $70\ cm$ and $36\ cm$.Solution:We know that, The area of a rectangle with length '$l$' and breadth '$b$' is $l \times b$.The ... Read More

Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)
"

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:33

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To do:We have to split the given shapes into rectangles and find their areas.Solution:(a) Area of the given figure $=$ Area of rectangle I $+$ Area of rectangle II$=12\times2+8\times2$$=24+16$$=40\ cm^2$(b) Area of the given figure $=$ Area of square I $+$ Area of square II $+$ Area of square III ... Read More

Find the areas of the rectangles whose sides are :
(a) \( 3 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \)
(b) \( 12 \mathrm{~m} \) and \( 21 \mathrm{~m} \)
(c) \( 2 \mathrm{~km} \) and \( 3 \mathrm{~km} \)
(d) \( 2 \mathrm{~m} \) and \( 70 \mathrm{~cm} \)

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:29

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To do:We have to find the areas of the rectangles whose sides are: (a) $3 \ cm$ and $4\ cm$ (b) $12\ m$ and $21\ m$ (c) $2\ km$ and $3\ km$ (d) $2\ m$ and $70\ cm$.Solution:We know that, The area of a rectangle with length '$l$' and breadth ... Read More

Find the areas of the squares whose sides are :
(a) \( 10 \mathrm{~cm} \)
(b) \( 14 \mathrm{~cm} \)
(c) \( 5 \mathrm{~m} \)

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:29

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To do:We have to find the areas of the squares whose sides are :(a) $10\ cm$(b) $14\ cm$(c) $5\ m$.Solution:We know that, Area of a square of side $s$ is $s^2$.Therefore, (a) The area of square $ =(10\ cm)^2$$ = 100\ cm^2$(b) The area of square $ =(14\ cm)^2$$ = ... Read More

The length and breadth of three rectangles are as given below :
(a) \( 9 \mathrm{~m} \) and \( 6 \mathrm{~m} \)
(b) \( 17 \mathrm{~m} \) and \( 3 \mathrm{~m} \)
(c) \( 4 \mathrm{~m} \) and \( 14 \mathrm{~m} \)
Which one has the largest area and which one has the smallest?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:29

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Given:The length and breadth of three rectangles are: (a) $9\ m$ and $6\ m$ (b) $17\ m$ and $3\ m$ (c) $4\ m$ and $14\ m$. To do:We have to find which rectangle has the largest area and which rectangle has the smallest area.Solution:We know that, The area of a ... Read More

The area of a rectangular garden \( 50 \mathrm{~m} \) long is $300\ sq.\ m$. Find the width of the garden.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:36:29

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Given:The area of a rectangular garden $50\ m$ long is $300\ sq\ m$.To do:We have to find the width of the garden.Solution:We know that, The area of a rectangle with length '$l$' and breadth '$b$' is $l \times b$.Therefore, The area of rectangle $300\ sq\ m =50\times width$Width $= \frac{300\ ... Read More

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