Question 1 :
The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 900 $cm^2$ space.
Question 2 :
Write True or False. If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 $cm^2$.
Question 3 :
The sides of a triangle are 56 cm, 60 cm and 52 cm long. Find the area of the triangle.
Question 4 :
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
Question 5 :
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Refer to the above image. A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm. Find the cost of polishing the tiles at the rate of 50 paise per $cm^2$ .
Question 6 :
The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.
Question 7 :
A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3 m, wide space should be left in the front and back each and 2 m wide space on each of other sides. Find the largest area where house can be constructed.
Question 8 :
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There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Question 9 :
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From the above image, find the length of the altitude from vertex A on the side DC.
Question 10 :
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.