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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 know that, Area of the ΔABC = ½ ×... 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 = 49 cm Then, We know that, Area of the... 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 of the parallelogram = base × height... 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 the table given... 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 cm We know that Area of... 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 = 1 m Length of the wall = 4.5 m Breadth of... 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 the rectangle = 30 Find out We... 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 = 22 cm The perimeter of the... 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 of a rectangular park. Side of the square... 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 the rectangular sheet = 35 cm... 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 rectangular plot = 22 m Find out... 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 We have to determine the area of... 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 The breadth of the rectangular piece of... 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 it a linear graph? Solution Yes, it is linear graph ... 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 Solution Consider number of apples on... 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 is True (ii) A point whose... View Article

Write the coordinates of the vertices of each of these adjoining figures.

Solution From the graph drawn we observe that Three figures named as, OABC, PQRS and LMK. Vertices of figure OABC O (0, 0), A (2, 0), B (2,... View Article

Draw the line passing through (2,3)and(3,2).Find the coordinates of the points at which this line meets the x-axis and y-axis.

Solution From the graph drawn we observe that Line passes through points (2, 3) and (3, 2) The coordinates of the points at which this... View Article

Plot the following points on a graph sheet. Verify if they lie on a line (a) A(4,0), B(4, 2),C(4,6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3,3), S(4, 4) (c) K(2, 3), L(5, 3), M(5,5), N(2, 5)

Solution From the graph drawn we observe that (a) All points A,B, C and D lie on a vertical line. (b) P,Q, R and S points also make a line .... View Article

Can there be a time-temperature graph as follows? Justify your answer.

Solution From the graph we observe that (i) It is a time-temperature graph. It is depicting the increase in temperature as time increases.... View Article