## RS Aggarwal Class 9 Solutions Chapter 7 Areas Ex 7A

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Class 9 Solutions Chapter 7 Areas Ex 7A.

Question 1.
Solution:
Base of the triangle (b) = 24cm and height (h) = 14.5 cm
∴ Area = $$\frac { 1 }{ 2 }$$ x b x h = $$\frac { 1 }{ 2 }$$ x 24 x 14.5 cm²
= 174 cm² Ans.

Question 2.
Solution:
Let the length of altitude of the triangular field = x then its base = 3x.

Question 3.
Solution:
Sides of a triangle = 42cm, 34cm and 20cm
Let a = 42cm, b = 34cm and c = 20 cm

Question 4.
Solution:
Sides of the triangle = 18cm, 24cm and 30cm
Let a = 18 cm, b = 24 cm and c = 30cm

Question 5.
Solution:
Sides of triangular field ABC arc 91m, 98m and 105m
Let AC be the longest side
∴ BD⊥AC
Here a = 98m, b = 105m and c = 91m

Question 6.
Solution:
Perimeter of triangle = 150m
Ratio in the sides = 5:12:13
Let sides be 5x, 12x and 13x

Question 7.
Solution:
Perimeter of a triangular field = 540m
Ratio is its sides = 25 : 17 : 12

Question 8.
Solution:
Perimeter of the triangular field = 324 m
Length of the sides are 85m and 154m

Question 9.
Solution:
Length of sides are
13 cm, 13 cm and 20cm

Question 10.
Solution:
Base of the isosceles triangle ABC = 80cm
Area = 360 cm²

Question 11.
Solution:
Perimeter of the triangle
ABC = 42 cm.
Let length of each equal sides = x

Question 12.
Solution:
Area of equilateral triangle = 36√3 cm².
Let length of each side = a

Question 13.
Solution:
Area of equilateral triangle = 81√3 cm²
Let length of each side = a

Question 14.
Solution:
∆ ABC is a right angled triangle, right angle at B.
∴ BC 48cm and AC = 50cm

Question 15.
Solution:
Each side of equilateral triangle
(a) = 8cm.

Question 16.
Solution:
Let a be the each side of
the equilateral triangle.

Question 17.

Solution:
The given umbrella has 12 triangular pieces of the size 50cm x 20cm x 50cm. We see that each piece is of an isosceles triangle shape and we have to find firstly area of one such triangle.

Question 18.
Solution:
The given floral design is made of 16 tiles
The size of each tile is 16cm 12cm, 20cm
Now we have to find the area of firstly one tile

Question 19.

Solution:

Question 20.
Solution:
In the figure, ABCD is a quadrilateral
AB = 42 cm, BC = 21 cm, CD = 29 cm,
DA = 34 cm and ∠CBD = 90°

Question 21.
Solution:
from the figure
∆DAB

Question 22.
Solution:

Question 23.
Solution:
from the figure,
We know that

Question 24.
Solution:

Hope given RS Aggarwal Class 9 Solutions Chapter 7 Areas Ex 7A are helpful to complete your math homework.

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