If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π = 22/7)
Given From the given data we get to know that Circumference of the circle = 154 m Find out We... View Article
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Find the area of the following circles, given that: (a) Radius = 14 mm (Take π = 22/7) (b) Diameter = 49 m (c) Radius = 5 cm
(a) Radius = 14 mm (Take π = 22/7) Solution: We are given that Radius of circle = 14 mm... View Article
Find the circumference of the circle with the following radius: (Take π = 22/7) (a) 14 cm (b) 28 cm (c) 21 cm
(a) 14 cm Answer We are given that Radius of circle = 14 cm We know that Circumference of the... View Article
ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (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?
Solution From the given figure we note that AB = AC = 7.5 cm BC = 9 cm AD = 6cm... View Article
ΔABC is right angled at A (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.
Solution From the given figure we notet hat AB = 5 cm BC = 13 cm AC = 12 cm We... View Article
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (Figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.
From the give figure we note that Area of the parallelogram = 1470 cm2 AB = 35 cm AD =... View Article
PQRS is a parallelogram (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
Solution From the given figure we note that SR = 12 cm QM = 7.6 cm (a) We know that, Area... View Article
Find the missing values:
Base Height Area of Triangle 15 cm 87 cm2 31.4 mm 1256 mm2 22 cm 170.5 cm2 Solution (a) From... View Article
Find the area of each of the following parallelograms:
(a) Solution From the given figure, we observe that Height of parallelogram = 4 cm Base of parallelogram = 7... View Article
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 (Fig). Find the cost of white washing the wall, if the rate of white washing the wall is ₹ 20 per mm2.
Given From the given details we get to know that Length of the door = 2 m Breadth of the door... View Article
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.
Given From the given details we get to know that The perimeter of the rectangle = 130 cm The breadth of... View Article
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?
Given From the given details we get to know that Length of the rectangle = 40 cm Breadth of the square... View Article
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.
Given From the given details we get to know that The area of a square park is the same as that... View Article
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
Given From the given details we get to know that The perimeter of the rectangular sheet = 100 cm Length of... View Article
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.
Given From the given details we get to know that Area of the rectangular plot = 440 m2 Length of the... View Article
Find the area of a square park whose perimeter is 320m.
Given From the given details we get to know that The perimeter of the square park = 320 m Find out... View Article
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 ₹ 10,000.
Given From the given details we get to know that The length of the rectangular piece of land = 500 m... View Article
Draw a graph for the following
(a) Side of square (in cm) 2 3 3.5 5 6 Perimeter (in cm) 8 12 14 20 24 Is... View Article
Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples (b) Distance travelled by a car (i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.? (ii) What was the time when the car had covered a distance of 100 km since it’s start? (c) Interest on deposits for a year. (i) Does the graph pass through the origin? (ii) Use the graph to find the interest on Rs 2500 for a year. (iii) To get an interest of Rs. 280 per year, how much money should be deposited?
(a) Cost of apples Number of apples 1 2 3 4 5 Cost (in Rs) 5 10 15 20 25... View Article
State whether True or False. Correct that are false. (i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. (ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis. (iii) The co-ordinates of the origin are (0, 0).
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. The given statement... View Article
