1. One side of a Square shaped park measures 45m. Walking path measuring 1m needs to be formed along the interior sides of the park. Find the area of the inner Square?
SHOW ANSWER
Correct Ans:1849
Explanation:
Side of the inner square =43 {45 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Inner Square = 43^2 =1849
2. One side of a Square shaped park measures 15m. Walking path measuring 1m needs to be formed along the interior sides of the park. Find the area of the walking path ?
SHOW ANSWER
Correct Ans:56
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 15m and y = 13 {15 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom
We get the required area = 15^2 - 13^2 = (15+13) x (15-13) (using a^2-b^2 formulae)
= (28) x (2) = 56
3. Each side of a Square shaped park measures. 15m. A Square shaped garden inside the park, measures 7m. Can you find the area in between them ?
SHOW ANSWER
Correct Ans:176
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 15m and y = 7 we get the required area = 15^2 - 7^2 = (15+7) x (15-7) (using a^2-b^2 formulae)
= (22) x (8) = 176
4. Given a Square whose sides measure 30m. Another Square measuring 22 is placed inside the bigger Square. Calculate the area between them ?
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Correct Ans:416
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 30m and y = 22 we get the required area = 30^2 - 22^2 = (30+22) x (30-22) (using a^2-b^2 formulae)
= (52) x (8) = 416
5. A farmer has to plough a square shaped field whose Diagonals measure 65m. Find the Perimeter of the farmers Farm land ?
SHOW ANSWER
Correct Ans:130 sqrt(2) m
Explanation:
Given Diagonal of the Square shaped farm land is 65m.
Perimeter of required farmland = Perimeter of square
Perimeter of the farmland = (2 x Diagonal x sqrt(2) )
= (65x 2 x sqrt(2) ) =130sqrt(2)sq.m
6. A man ordered a square shaped table. He plans to cover the table top with a cloth. He finds out that the Diagonals measure 35dm. Find the perimeter of the cloth required ?
SHOW ANSWER
Correct Ans:70 ?2 dm
Explanation:
Diagonal of the tabletop is given as 35dm
Since the table is in the form of a square, the clothing Perimeter required will be the Perimeter of the Square
Perimeter of the table = (2 x Diagonal x ?2 )
= (35x 2 x ?2 ) =70(?2)sq.dm
7. A Big Square shaped hall needs to be fitted with carpet. The Diagonals measure 55m. Find the perimeter of carpet ?
SHOW ANSWER
Correct Ans:110 ?2 m
Explanation:
Diagonal of the big Square shaped hall is given as 55m.
In order to find how many Sq.m of carpet is required to fill the hall, we need to find the Perimeter of the square shaped hall .
Perimeter of the Square shaped hall = (2 x Diagonal x ?2 )
= (55x 2 x ?2 ) =110(?2)sq.m
8. There is a Square shaped parking lot. Diagonals measure 35m. Find the perimeter of the parking lot ?
SHOW ANSWER
Correct Ans:70 sqrt(2) m
Explanation:
Given that the parking lot is in the shape of Square and its
Diagonal length is 35m
In order to find how many Sq.m of tiles is required, we need to estimate the Perimeter of the parking lot
Perimeter of the Parking space= (2 x Diagonal x sqrt(2))
= (35x 2 x sqrt(2))
=70 sqrt(2) m.
9. Shopping mall has a square shaped childrens play area. The distance between the ends of the diagonal measures 40m. Find the Perimeter of Children's play area ?
SHOW ANSWER
Correct Ans:80 ?2 m
Explanation:
Given Diagonal length of the children's play Perimeter measures 40m
Perimeter of the Children play Perimeter (Square Shape) = (2 x Diagonal x ?2 )
=> (40x 2 x ?2 ) =80(?2)sq.m
10. A Field Observer finds out that distance between two ends of the diagonal is 65m. Help him to find the Perimeter of the plot (observed plot is in the shape of Square ?
SHOW ANSWER
Correct Ans:130 sqrt(2) m
Explanation:
Diagonal distance of the observed field is 65m
Perimeter of the observed field (in shape of Square)= (2 x Diagonal x sqrt(2))
=> (65x 2 x sqrt(2)) =130 sqrt(2) sq.m
11. A Square shaped wooden plate has a diagonal length of 35cm. Can you find the Perimeter of plate ?
SHOW ANSWER
Correct Ans:70 ?2 cm
Explanation:
Given Diagonal length of Square shaped wooden plate 35cm
Perimeter of the Wooden plate (in shape of Square)= (2 x Diagonal x ?2 )
=> (35x 2 x ?2 ) =70(?2)sq.cm
12. A baby crawls diagonally in a Square shaped room. Baby covers a distance of 45dm. Find the Perimeter of the Square shaped room ?
SHOW ANSWER
Correct Ans:90 sqrt(2) dm
Explanation:
Diagonal distance crawled by Baby is 45dm
Perimeter of the room (in shape of Square)= (2 x Diagonal x sqrt(2))
=> (45x 2 x sqrt(2)) =90 sqrt(2) dm
13. An ant walks diagonally in a Square shaped plot. It covers a distance of 40cm. Can you find the Perimeter of the Square Plot ?
SHOW ANSWER
Correct Ans:80 ?2 cm
Explanation:
Given Diagonal distance covered by an Ant is 40 cm
Perimeter of the Square Plot= (2 x Diagonal x ?2 )
=> (40x 2 x ?2 ) =80(?2)sq.cm
14. Donald walks diagonally in a Square shaped park. Donald covers a distance of 35m. Can you find the Perimeter of the Square park ?
SHOW ANSWER
Correct Ans:70 ?2 m
Explanation:
Given Anni walks distance of 35m
Park is in the shape of Square, so Perimeter of park (in shape of Square) = (2 x Diagonal x ?2 )
=> (35x 2 x ?2 ) =70(?2)sq.m
15. Given a Square whose diagonal is 70 units. Compute its Perimeter ?
SHOW ANSWER
Correct Ans:140 sqrt(2) units
Explanation:
Given diagonal is 70 units
Perimeter of Square = (2 x Diagonal x sqrt(2) ) => (70x 2 x sqrt(2)) =140 sqrt(2)
16. A farmer has to plough a square shaped field whose Diagonals measure 60m. Find the Perimeter of the farmers Farm land ?
SHOW ANSWER
Correct Ans:120 ?2 m
Explanation:
Given Diagonal of the Square shaped farm land is 60m.
Perimeter of required farmland = Perimeter of square
Perimeter of the farmland = (2 x Diagonal x ?2 )
= (60x 2 x ?2 ) =120(?2)sq.m
17. A man ordered a square shaped table. He plans to cover the table top with a cloth. He finds out that the Diagonals measure 30dm. Find the perimeter of the cloth required ?
SHOW ANSWER
Correct Ans:60 sqrt(2) dm
Explanation:
Diagonal of the tabletop is given as 30dm
Since the table is in the form of a square, the clothing Perimeter required will be the Perimeter of the Square
Perimeter of the table = (2 x Diagonal x sqrt(2) )
= (30x 2 x sqrt(2) ) =60(sqrt(2))sq.dm
18. A Big Square shaped hall needs to be fitted with carpet. The Diagonals measure 50m. Find the perimeter of carpet ?
SHOW ANSWER
Correct Ans:100 sqrt(2) m
Explanation:
Diagonal of the big Square shaped hall is given as 50m.
In order to find how many Sq.m of carpet is required to fill the hall, we need to find the Perimeter of the square shaped hall .
Perimeter of the Square shaped hall
= (2 x Diagonal x sqrt(2))
= (50x 2 x sqrt(2))
=100 sqrt(2) m.
19. There is a Square shaped parking lot. Diagonals measure 30m. Find the perimeter of the parking lot ?
SHOW ANSWER
Correct Ans:60 sqrt(2) m
Explanation:
Given that the parking lot is in the shape of Square and its Diagonal length is 30m
In order to find how many Sq.m of tiles is required, we need to estimate the Perimeter of the parking lot
Perimeter of the Parking space= (2 x Diagonal x ?2 )
= (30x 2 x ?2 ) =60(?2)sq.m
20. Shopping mall has a square shaped childrens play area. The distance between the ends of the diagonal measures 35m. Find the Perimeter of Children's play area ?
SHOW ANSWER
Correct Ans:70 ?2 m
Explanation:
Given Diagonal length of the children's play Perimeter measures 35m
Perimeter of the Children play Perimeter (Square Shape) = (2 x Diagonal x ?2 )
=> (35x 2 x ?2 ) =70(?2)sq.m
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