A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’.
Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will
be the area of the signal board?
The triangular side walls of a flyover have been used for advertisements. The sides of the
walls are 122 m, 22 m, and 120 m (see Fig. 12.9). The advertisements yield an earning of ₹5000
\text { per } \mathrm{m}^{2} \text { per year. A company hired one of its walls for } 3 \mathrm{months} \text { . How much rent did it pay? }
There is a slide in a park. One of its side walls has been painted in some color with a
the message “KEEP THE PARK GREEN AND CLEAN” (see Fig. 12.10 ). If the sides of the wall are 15
m, 11 m, and 6 m find the area painted in colour.
Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is
42cm.
The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area.
An isosceles triangle has a perimeter 30 cm and each of the equal sides is 12 cm. Find the
area of the triangle.
A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m
and AD = 8 m. How much area does it occupy?
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm
and AC = 5 cm.
Radha made a picture of an airplane with colored paper as shown in Fig 12.15. Find the
the total area of the paper used.
A triangle and a parallelogram have the same base and the same area. If the sides of the
triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find
the height of the parallelogram
A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is
30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
An umbrella is made by stitching 10 triangular pieces of cloth of two different colors (see
Fig.12.16), each piece measuring 20 cm, 50 cm, and 50 cm. How much cloth of each color is
required for the umbrella?
A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm
and sides 6 cm each is to be made of three different shades as shown in Fig. 12.17. How much
paper of each shade has been used in it?
A floral design on a floor is made up of 16 tiles which are triangular, the sides of the
the triangle is 9 cm, 28 cm, and 35 cm (see Fig. 12.18). Find the cost of polishing the tiles at the
rate of 50p per \mathrm{cm}^{2}
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non
parallel sides are 14 m and 13 m. Find the area of the field.
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