Two cross roads, each of width 5 m, run at right angles through the centreof a rectangular park of length 70 m and breadth 45 m and parallel to itssides. Find the area of the roads. Also find the cost of constructing theroads at the rate of ` 105 per m2.
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Sudhanshu divides a circular disc of radius 7 cm in two equal parts.What is the perimeter of each semicircular shape disc?
The radius of a circular pipe is 10 cm. What length of a tape is requiredto wrap once around the pipe (π = 3.14)?
What is the circumference of a circle of diameter 10 cm (Take π = 3.14)?
The two sides of the parallelogram ABCD are 6 cm and 4 cm. The heightcorresponding to the base CD is 3 cm (Fig 11.19). Find the(i) area of the parallelogram. (ii) the height corresponding to the base AD.
Find the height ‘x’ if the area of theparallelogram is 24 cm2 and the base is4 cm.
The area of a square and a rectangle are equal. If the side of the square is40 cm and the breadth of the rectangle is 25 cm, find the length of therectangle. Also, find the perimeter of the rectangle.
A wire is in the shape of a square of side 10 cm. If the wire isrebent into a rectangle of length 12 cm, find its breadth. Which enclosesmore area, the square or the rectangle?
The area of a rectangular sheet is 500 cm2. If the length of the sheet is25 cm, what is its width? Also find the perimeter of the rectangular sheet.
A door-frame of dimensions 3 m × 2 m is fixed on the wall of dimension10 m × 10 m. Find the total labour charges for painting the wall if thelabour charges for painting 1 m2 of the wall is ` 2.50.
How many times a wheel of radius 28 cm must rotate to go 352 m?
(Take π )
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Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take À = 3.14)
A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)
A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (À = 3.14)
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)
A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)
From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the following figure). Find the area of the remaining sheet. (Takeπ)
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? (Takeπ)
Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m2. (Take π = 3.14)
Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15.( Takeπ = 3.14)
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (TakeÀ = 3.14)
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost Rs 4 per meter. (Takeπ)
If the circumference of a circular sheet is 154m, find its radius. Also find the area of
the sheet. (Takeπ)
Find the area of the following circles, given that:
(a) radius = 14 mm (Takeπ) (b) diameter = 49 m
(c) radius = 5 cm
Find the circumference of the circles with the following radius: (Takeπ)
(a) 14 cm (b) 28 mm (c) 21 cm
ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (see the given figure). The height AD from A to BC, is 6 cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?
ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (see the given figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.
PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find:
(a) the area of the parallelogram PQRS
(b) QN, if PS = 8 cm
Find the missing values:
So No
Base
Height
Area of parallelogram
a.
20 cm
-
246 cm2
b.
15 cm
154.5 cm2
c.
8.4 cm
48.72 cm2
d.
15.6 cm
16.38 cm2
Find the area of each of the following triangles:
Find the area of each of the following parallelograms:
A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2.
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.
Find the area of a square park whose perimeter is 320 m.
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.