Question

The expressions for the length and area of a rectangle are (4a - 3) units
and 12a^2 - 37a + 21 sq units, then find the expression for breadth.​

Answer 1

Here Is Your Ans ⤵

****

Area of rectangle = Length × Breadth

⇒12a² − 37a + 21 = (4a−3) × b

where breadth = b

⇒b =12a² − 37a + 21 / 4a - 3

⇒b =12a² − 28a − 9a + 21 / 4a - 3

⇒b = 4a(3a−7)−3(3a−7) / 4a - 3

⇒b = (4a−3)(3a−7) / 4a - 3

⇒b = (3a - 7 ) units

******

FolloW Me :-)

Answer 2

Given

Expression for length =(4a-3)units

Expression for area =

12 a^2 - 37a + 21 sq units.

Explanation

Area of rectangle = length x breadth

(12a^2 -37a + 21 ) = (4a-3) x breadth

(12a^2-37a+21) / (4a-3) = (breadth)

(12a^2-28a-9a+21)/(4a-3) =(breadth)

[4a(3a-7) - 3(3a-7)] / (4a-3)= (breadth)

[(4a-3) (3a-7)]/(4a-3)= (breadth)

(3a-7) = breadth

Equation of breadth is

$\boxed{\textbf{\large{3a-7}}}$