Q1 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 Rs. 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?
Q2 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" (see Fig. 12.10). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Q2 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" (see Fig. 12.10). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Answers & Comments
Answer:
Q1: To find the rent paid by the company for hiring the wall, we need to calculate the area of the wall and multiply it by the rate of Rs. 5000 per m² per year.
Using the formula for the area of a triangle (A = 1/2 * base * height), we can calculate the area of the triangular side wall:
Base = 122 m
Height = 22 m
Area = 1/2 * 122 m * 22 m
Area = 1342 m²
Since the company hired the wall for 3 months, we need to calculate the rent for that period.
Rent = Area * Rate * Time
Rent = 1342 m² * Rs. 5000/m²/year * (3/12) years
Rent = Rs. 1,67,750
Therefore, the company paid a rent of Rs. 1,67,750 for hiring the wall.
Q2: To find the area painted in color on the side wall of the slide, we can again use the formula for the area of a triangle.
Base = 15 m
Height = 11 m
Area = 1/2 * 15 m * 11 m
Area = 82.5 m²
Therefore, the area painted in color on the side wall of the slide is 82.5 m².
Hope that helps!