FIND THE MISSING SIDE IN SIMILAR FIGURES

Find x given that the figures are similar :

Problem 1 :

Solution :

By observing the figure,

If two shapes are similar, then corresponding sides will be in the same ratio.

4/x = 3/5

Using cross multiplication, we get

3x = 20

Dividing both sides by 3.

3x/3 = 20/3

x = 6 2/3 m

Problem 2 :

Solution :

Comparing the corresponding sides, we get

4/x = 7/5

Using cross multiplication, we get

7x = 20

Dividing both sides by 7.

7x/7 = 20/7

x = 2 6/7 cm

Problem 3 :

Solution :

Comparing the corresponding sides, we get

7/11 = 3/x

Using cross multiplication, we get

7x = 33

Dividing both sides by 7.

7x/7 = 33/7

x = 4 5/7 m

Problem 4 :

Solution :

Comparing the corresponding sides, we get

5/8 = x/5

Using cross multiplication, we get

8x = 25

Dividing both sides by 8.

8x/8 = 25/8

x = 3 1/8 cm

Problem 5 :

Solution :

Comparing the corresponding sides, we get

3/4 = 10/x

Using cross multiplication, we get

3x = 40

Dividing both sides by 3.

3x/3 = 40/3

x = 13 1/3 cm

Problem 6 :

Solution :

Comparing the corresponding sides, we get

7/11 = x/12

Using cross multiplication, we get

11x = 84

Dividing both sides by 11.

11x/11 = 84/11

x = 7 7/11 m