Question

Give possible expressions go the length and breadth of each of the following rectangles, in which their areas are given:​

Answer 1

Answer:

1=> length = 4/5 , breadth = 3/5

Area = 12/25

2=> Length = 4/5 , breadth = 3/7

Area = 12/35

Step-by-step explanation:

1=>

25a^2 - 35a +12=0

25a^2 - 20a - 15a + 12 =0

5a(5a - 4) - 3(5a - 4) = 0

(5a - 3) (5a - 4) = 0

a = 3/5 , 4/5

2=>

35y^2 - 13y - 12 = 0

35y^2 - 15y - 28y - 12 =0

5y(7y - 3) -4(7y - 3) = 0

(5y - 4) (7y - 3) = 0

y = 4/5 , 3/7

hope it helps you

Answer 2

(i) Solution

${25a}^{2} - 35a + 12$

${25a}^{2} - 20a - 15a + 12$

$5a(5a - 4) - 3(5a - 4)$

$(5 a- 3)(5a - 4)$

HENCE, POSSIBLE LENGTH AND BREADTH ARE (5a-3) and (5a-4).

(ii) Solution

${35y}^{2} + 13y - 12$

${35y}^{2} + 28y - 15y - 12$

$7y(5y + 4) - 3(5y + 4)$

$(7y - 3)(5y + 4)$

HENCE, POSSIBLE LENGTH AND BREADTH ARE (7y-3) AND (5y+4).