Area of Square & Rectangle

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Question 2

Find the area of a square park whose perimeter is 320 m.

Q. If the length of a rectangle is 15 cm and breadth is 5 cm, find its area.

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Question 4

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also, find the area.

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A bus stop is barricaded from the remaining part of the road, by using $50$ hollow cones made of recycled cardboard. Each cone has a base diameter of $40cm$ and height $1m$. if the outer side of each of the cones is to be painted and the cost of painting is $₹12per{m}^2$, what will be the cost of painting all these cones? $(Use\pi =3.14$ and take $\sqrt{1.04}=1.02)$

Q. A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many tiles will fit in the entire hall ? How many would be required if tiles of side 15 cm were used?

Q. A floor of the room 12 m long and 8 m wide is to be covered by square tiles. If each square tile is 0.8 m, what is the cost of tiling at the rate of Rs. 7 per tile?

1. 990
2. 1000
3. 1025
4. 1050

Q. As shown in the figure, four napkins all of the same size were made from a square piece of cloth of length 1 m. What length of lace will be required to trim all four sides of all the napkins ?

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Question 92

Find the area of a square inscribed in a circle whose radius is 7 cm as shown in the figure.

Hint: Four right-angled triangles joined at right angles to form a square.

Q.

How do you find the perimeter given the Area $?$

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Question 9

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? $(Take\pi =\frac{22}{7})$

Q.

The area of the rectangular floor of a room is $132c{m}^2$. If the length of the room is $12cm$, find its breadth.

Q. Find the area of a rectangular park which is $41\frac{2}{3}$ m long and $18\frac{3}{5}$ m broad.

Q. A page of a calendar is 45 cm long and 26 cm wide. What is its area ?

Q.

What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of Rs 8 per hundred sq m?

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Question 76

A wall of a room is of dimensions $5m\times 4m$. It has a window of dimensions $1.5m\times 1$ m and a door of dimensions $2.25m\times 1$ m. Find the area of the wall, which is to be painted.

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A rectangular chalk box has a length 16 cm, breadth 8 cm and height 5 cm. Find its total surface area.

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Question 84

In the given figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.

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Find the area of square whose side is $10cm.$

Q. A path 10 m wide runs around a square park of side 50 m. Find the area of the path. Also, find the cost of cementing it at the rate of Rs. 100 per 10 m${}^2$

Q.

Question 6

Two crossroads, each of width 10 m, cut at right angle through the center of a rectangular park of length 700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also, find the area of the park excluding crossroads. Give the answer in hectares.

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Question 1 (ii)

The length and breadth of a rectangular piece of land are 500 m and 300 m respectively. Find:
The cost of the land, if 1 $m^2$ of the land costs ₹ 10, 000.

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A room is $4m20cm$ long and $3m65cm$ wide. How many square meters of carpet are needed to cover the floor of the room

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Find the width of a cardboard if its area is $52sqcm$ and its length is $13cm$

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The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find

(i) its area

(ii)the cost of the land, if 1 m² of the land costs Rs 10, 000.

Q. Question 8 (ii)
A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹ 498.96. If the cost of whitewashing is ₹ 2 per square meter, find the:
volume of the air inside the dome
$[Assume\pi =\frac{22}{7}]$

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The perimeter of a rectangle is $36$ $cm$. If length is $10cm$, then its area is ________$c{m}^2$

Q.

A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:

(i) the area of the path

(ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m².

Q. Question 1
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see Fig. 13.31). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per $c{m}^2$ and the rate of painting is 10 paise per $c{m}^2$ find the total expenses required for polishing and painting the surface of the bookshelf.

Q.

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find

(i) the area covered by the roads.

(ii)the cost of constructing the roads at the rate of Rs 110 per m².

Q.

Find the area of rectangle whose length is $5.7cm$ and breadth is $3cm.$