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Syllabus

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The figure given below shows the cross-section of a concrete structure. Calculate the area of cross-section if AB = 1.8 m, CD = 0.6 m, DE = 0.8 m, EF = 0.3 m and AF = 1.2 m.

^{2}is ₹52200, Find its base and altitude.which is not drawn to scale.

^{2}in the given figure. If the circumference of the outer circle is 132 cm, find the width of the shaded portion.If the path occupies an area of 360 m

^{2}, find its width.16.. In a trapezium. one of the parallel sides is half of the other. The height is 4 cm. If the area of the trapezium is 36 sq.cm, then what are the lengths of the parallel sides?

Q. In the figure (i) below, ABCD is a square, E is te midpoint of CB. AF is drawn perpendicular to DE. If the side of the square is 2013 cm, the length of FB is (in cm)

Please do not provide any link.

Q12. The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two paths are 8 m and 15 m as shown. Find the area of the shaded portion.

^{o}.15. A man bought a rectangular plot of land for constructing a house. The plot is 30 m deep and 15 m in the front. According to the laws of the town, he has to leave vacant 3 m in the front, 3 m in the back and 2 m on each of other sides. What is the largest area on which he can construct his house?

16. The dimensions of the screen of a flat TV are 90 cm x 60 cm. The screen has a 4-cm-broad boundary all around. Find the area of the boundary.

17. The cost of a Carpet for the floor of a 8-m-long room is Rs. 16,000. Had the breadth been 1 m less, the cost would have been Rs.12,000. Find the breadth of the floor. Also find the cost per m^2 for carpeting the floor.

18. The length of a room is 3 m more than its breadth. If the area of the floor of the room is 70 m^2 then find the perimeter of the floor.

19. The cost of constructing a road is Rs 5,000 per 100 m^2. Find the cost of constructing a road 5 m broad surrounding a garden 100 m long and 10 m broad.

20. A rectangular wall of area 30 m^2 has a length of 10 m. It is to be painted blue from the base to a height of 2.5 m, leaving 1 m on each side. The rest is to be painted white. If the cost of white and blue paints required to paint per square metre are Rs.460 and Rs.475 respectively, and the labour cost per square metre is Rs. 25 for both the colours then find the total cost of painting the wall.

Hint: Let ABCD be the given trapezium in which AB || DC. Let E and F be mid-points of sides AD and BC respectively, then EF = 18 cm.Area of trap. ABCD = $\frac{1}{2}$ (AB + DC) × height = EF × height.

Plz ans fast

Q.9. The side of a square is 25 cm. Find the length of its diagonal correct to 2 decimal places.

Q8. A circle of largest area is cut from a rectangular piece of card-board with dimensions 55 cm and 42 cm. Find the ratio between the area of the circle cut and the area of the remaining card-board.

Q.15. AD is altitude of an isosceles triangle ABC in which AB = AC = 30 cm and BC = 36 cm. A point O is marked on AD in such a way that $\angle BOC=90\xb0$. Find the area of the quadrilateral ABOC.

1.the figure below is made up of a square,a triangle and a rectangle find the area of the shaded region.

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Q.9. ABC is a triangle in which AB = AC = 4 cm and $\angle A=90\xb0$. Calculate the area of $\u25b3$ABC.

^{2}find its width.7. The length and the breadth of a rectangle are 6 cm and 4 cm respectively. Find the height of a triangle whose base is 6 cm and area is 3 times that of the rectangle.

8. How many tiles, each of area 400 sq.cm, will be needed to pave a footpath which is 2 m wide and surrounds a grass plot 25 m long and 13 m wide ?

9. The cost of enclosing a rectangular garden with a fence all round. at the rate of 75 paise per hectre. is Rs. 300. If the length of the garden is 120 metres, find the area of the field in square

10. The width of a rectangular room is 4/7 — of its length. x, and its perimeter is y. Write an equatim connecting x and y. Find the length room when the perimeter is 4400 cm.

(b) The figure (ii) given below is a trapezium. Find

(1) AB (ii) area of trapezium ABCD.

ans.Area= 98 m2 , perimeter = 39.60 m

plz ans fast no links

Q.17. (c) Find the area and perimeter of the figure (iii) given below in which all corners are right angles and all measurement in centimetres.

Q.The minute hand of a clock is 12 cm. long. Find the area of the face of the clock described by the minute hand between 9.A.M. and 9:35 A.M.

Side=8cm,acute angle between one pair of sides=30?,area=__________cm^2

^{2}, calculate its depth.Ans. 7000m

^{2}^{ }Plz ans fast