## 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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