### Chap 5 Algebra... Different "Faces" of Algebra (III)

The perimeter of a rectangle is (6x + 5y) cm.
Suggest 2 possible dimensions of the rectangle.

e.g.
Length of rectangle = 2x + 2y cm
Breadth of rectangle = x + 0.5y cm
Check:
Perimeter = 2 (2x + 2y) + 2 (x + 0.5y) cm
= 4x + 4y + 2x + y cm
= 6x + 5y cm

1. Length of Rectangle = 3x + 1y cm
Breadth of rectangle = 2y cm

Check:
Perimeter = 2(3x + 1y) + 2(1.5y) cm
= (6x + 2y + 3y) cm
= 6x + 5y cm

2. Length of rectangle = 3x + 1y cm
Breath of rectangle = 1.5y cm
Perimeter = 2 (3x+1y) + 2 (1.5y) cm
= 6x + 2y + 3y cm
= 6x + 5y cm

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4. Length of Rectangle = 3x + 2y
Breadth of Rectangle = 1y

Perimeter = 2 (3x + 2y) + 2 (0.5y)
= 6x + 4y + 1y
= 6x + 5y

5. Length of rectangle = 3x
Breadth of rectangle = 2.5y
Check:
Perimeter = 2 (3x) + 2 (2.5y) cm
= 6x + 5y cm

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8. Length of rectangle = 2x + 0.5y
Breadth of Rectangle = x + 2y

Perimeter = [(2x + 0.5y) x 2] + [(x + 2y) x 2]
= (6x + 5y) cm

9. Length: 3x cm

Perimeter: 2(3x + 2.5y) = 6x + 5y

Length: 2x + y cm
Breadth: x + 1.5y cm

Perimeter: 2(2x + x + 1.5y + y) = 6x + 5y

10. length: 2x+1.5y

breath:1x+1y

perimeter=(2)2x+1.5y + (2)1x+1y

11. Length of rectangle = x+y
Breadth of rectangle = 2x+1.5y
Check:
Perimeter = 2x+1.5y+ 2x+1.5y+x+y+x+y
= (6x+5y)

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13. Length of Rectangle = (2x + 1.5y) cm
Breadth of rectangle = (x + y) cm

CHECK
Perimeter = 2(2x + 1.5y) + 2(x + y) cm
= (4x + 3y) cm + (2x + 2y) cm
= (6x + 5y) cm

14. Length of rectangle = x + 2y cm
Breadth of rectangle = 2x + 0.5y cm
Check:
Perimeter = 2 (x + 2y) + 2 (2x + 0.5y) cm
= 2x + 4y + 4x + y cm
= 6x + 5y cm

15. Length of triangle: 2x+y cm
Breadth of rectangle: x+1.5y cm

Check:
Perimeter: (2x+y)cm x2= 4x+2y cm
(x+1.5y)cm x2= 2x+3y cm
(4x+2y)cm+(2x+3y)cm= 6x+5y cm

16. 1)Length of the rectangle= 2x+y cm
Breadth of rectangle= x+1.5y cm

Permimeter= 2(2x+y)+ 2(x+1.5y)cm
= ( 4x+2y)+(2x+3y)
= (6x+5y)

2) Length of the rectangle= 3x+y cm
Breadth of rectangle= 1.5y cm

Perimeter = 2(3x+y)+2(1.5y)
= 6x+2y+3y
= 6x+5y//

17. Length of rectangle = (1.5x + 1.7y) cm
Breadth of rectangle = (1.5x + 0.8 y) cm

Check:
Perimeter = 2(1.5x + 1.7y) + 2(1.5x + 0.8 y) cm
= (3x + 3.4) + (3x + 1.6)cm
=6x + 5y cm

18. Length of rectangle = 3x +y cm
Breadth of rectangle = 1.5y cm

Check: 2 (3x+y) + 2 (1.5y)
= 6x+2y+3y
= 6x+5y cm

19. The perimeter of a rectangle is (6x + 5y) cm.
Suggest 2 possible dimensions of the rectangle.

Length: x+x

(x+x+1.25y-0.5x)^4

20. Length of rectangle = 2.5x + 2y cm
Breadth of rectangle = 0.5x + 0.5y cm
Check:
Perimeter = 2 (2.5x + 2y) cm + 2 (0.5x + 0.5y) cm
= 5x + 4y cm + 1x + 1y cm
= 6x + 5y cm

21. Length of rectangle = 1.5cm + 1.1cm
Breadth of rectangle = 1.5cm + 1.4cm

Perimeter = 3x cm + 3x cm + 2.2cm + 2.8cm
= (6x + 5y)cm

22. Length of rectangle = 2x + 2.5y cm
Breadth of rectangle = x cm
Check:
Perimeter = 2 (2x + 2.5y) + 2 (x) cm
= 4x + 5y + 2x cm
= 6x + 5y cm

23. Length of rectangle = 3x + y cm
Breath of rectangle = 1.5y cm

CHECK
Perimeter = 2 (3x+1y) + 2 (1.5y) cm
= 6x + 2y + 3y cm
= 6x + 5y cm

24. Length of Rectangle : ( 2x + 4y ) cm
Breadth of Rectangle : x - 1.5y

Check :
Perimeter = 2 ( 2x + 4y ) cm + 2 ( x - 1.5y ) cm
= ( 4x + 8y ) cm + ( 2x - 3y ) cm
= ( 6x + 5y ) cm

25. Length of Rectangle: 3x
Breadth of Rectangle: 2.5y

Check: 2(3x)+2(2.5y)
=6x+5y

26. Feedback on your individual responses are reflected on the hardcopy on your class notice baord.

There are some creative answers amongst the above.