Question

Green cleaning refers to using cleaning methods and products with environmentally friendly ingredients ae procedures which are designed to preserve human he and environmental quality. To preserve the environment and do in this manner, Ramesh made a slide in a park which is situated in his society. One of its side walls has been painted in some colour with a message KEEP THE PARK GREEN AND CLEAN" (see figure). If the sides of the wall are 15 m, 11 m and 6 m, then give answer the questions by looking at the figure.

Q1. Find the semi perimeter of triangle

A. 14 m
B. 16 m
C. 18 m
D. 20 m

Q2. Write the type of triangle given in question

A. Equilateral
B. Scalene
C. Isosceles
D. Right angled Triange

Q3. Find the area in m of the wall

(a)- 10√2
(b)- 20√2
(c)- 30√2
(d)- 40√2

Q4. Find the cost of paint, if the price is 8 per m²
A. ₹220
B. ₹221
C. ₹226
D. ₹228
​

Answer 1

Answer:

Q1.) B) 16

Q2.) B) scalene

Q3.) B) 20√2

Q4.) C) rupees 226

Answer 2

Given that :

• The side of the wall is  $11m , 6 m , 15m$

To find :

1. semi perimeter of triangle
2. type of triangle form
3. area of the wall
4. cost of paint if price is 8 per m^2

solution :

formula to be used :

1. semi perimeter of triangle = $\frac{a+b+c}{2}$
2. area of triangle by herons formula = $\sqrt{s(s-a)(s-b)(s-c)}$

sol 1)

a = 11m

b=6m

c=15m

semi perimeter of triangle = $\frac{11+6+15}{2} = 16m$

sol 2)

• It is a scalene triangle because all sides are of different length .

sol 3)

area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$

area of triangle = $\sqrt{16(16-11)(16-6)(16-15)} = \sqrt{800}m^{2} = 20\sqrt{2} m^{2}$

sol 4)

cost of paint per m^2 = 8 rs

cost of paint $20\sqrt{2} m^{2} = 20\sqrt{2} * 8=226.2 rs$

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