Area of Square

Q. If the side of a square is 12 cm, find its area.

Q. If the side of a square is tripled, how many times will its area be as compared to the area of the original square ?

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Each side of a square flower bed is $$2~m~80~cm$ long. It is extended by digging a strip 30cm
wide all around it. Find the area of the enlarged flower bed and also the increase in the area of the flower bed.

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Find the area of the following circles given that : (i) Diameter $49$ m

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How many square tiles of side $9cm$ will be needed to fit in a square floor of a bathroom of side $720cm$? Find the cost of tiling at the rate of rupees $7.50$ per tile.

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A circle of radius $2cm$ is cut out from a square piece of an aluminium sheet of side $6cm$ . What is the area of the left over aluminium sheet? ( Take $\pi =3.14$)

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A door of length $2m$ and breadth $1m$ is fitted in a wall. The length of the wall is $4.5m$ and the breadth is $3.6m$. Find the cost of white washing the wall is $Rs.20$ per $m^2$.

Q. How much would it cost to erect a fence around A4 hectare square shaped farm. If it cost rupees 23 per meter?

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A rectangular garden 60 X 40 m has two roads each 10m wide running in the middle of it, one parallel to the length and other parallel to the breadth. Find the cost of gravelling the roads at RS 20 per square. m.

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A square and a circle both have a perimeter of $88cm.$ Which one has more area$?$

Q. The area of a square is 8100 sq cm. The length of its side is equal to

1. 6 cm
2. 12 cm
3. 18 cm
4. 24 cm

Q.

A man wants to cover his floor with carpet which costs Rs100 per square meters. His floor is in the form of a square which has a perimeter of 24 meters. What will be the cost of carpeting the floor? [4 MARKS]

Q. A 110m*80m rectangular plot has two crossroads , each 4m wide, running through its middle , one parallel to the lenght and the other parallel to the breadth. Find the total expense involved in cementing the roads at 15 per sq m and layering grass in the remaining part at 1.25 per sq m.

Q. From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.

Q. The total cost of flooring a room at rupees 50 per CM square is 2600 if the length of the room is 10 M find its breadth

Q.

Find the area of a square clipboard whose side measures 120 cm.

1. 14400 $c{m}^2$

2. 14400 $m^2$

3. 144 $c{m}^2$

4. 1440 $c{m}^2$

Q. If the area of the square is equal to $169c{m}^2$, the perimeter of the square is equal to

1. 12 cm
2. 18 cm
3. 24 cm
4. 32 cm

Q. What is the area of a circle whose circumference is same as the perimeter of square of side 44 cm?

1. 2000 $c{m}^2$
2. 2364 $c{m}^2$
3. 2464 $c{m}^2$
4. 2564 $c{m}^2$

Q. A square shaped park of side length 20 m has a pathway of area $100m^2$ along its periphery and rest of the area is to be covered by fine grass. Find the cost of laying the grass at the rate of ₹20 per $m^2$.

1. Rs. 3000
2. Rs. 4000
3. Rs. 6000
4. Rs. 12000

Q. A car travels 432 km on 48 litres of petrol. How far would it travel in 20 litres of petrol?

Q. What is the area of a square having its side equal to double the side of a square with area 100 cm2?​

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A man X has a land whose area is $3^4$ meter square and a man Y has $4^3$ meter square of land. If the land costs Rs 50 per meter square, who has higher property value? [4 MARKS]

Q. A sheet is 11 cm long and 2 cm wide. Squares of side 0.5 cm are cut from it. Calculate the total number of such squares that can be obtained.

1. 44
2. 66
3. 22
4. 88

Q. The given figure shows the portion of a rectangular pyramid that is to be cut off to make a perfume bottle.
If the top $40mm$ of the pyramid is cut off and its base area is $600sqmm$, then what percent of the volume of the original bottle was removed? Round off the answer to the nearest two-decimal places.
(Assume that the thickness of the perfume bottle is negligible.)

1. $15.6$%
2. $2.1$%
3. $1.65$%
4. $1.56$%

Q.

The area of a square of side $1.1cm$ is$\_{}_{}cm2$

Q. A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine the length of the side of the square.

Q. The circumference of a circle is 3.14 m, find its area.

Q. A farmer wants to plant trees on his square land of side 35 m. What is the total area available to him to plant trees?

1. $175c{m}^2$
2. $225c{m}^2$
3. $195c{m}^2$
4. $245c{m}^2$

Q.

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in $c{m}^2)$ if the area of the polygon is 24p $c{m}^2$ ?

1. 24π

2. 25π

3. 49π

4. 7π