Question

Area of a rectangular field is 2ac - 3bc-9ab +62 units. It's length is (c+3a) units.
Find its breadth.​

Answer 1

breadth of rectangular field is (2a - 3b)

area of rectangular field is (2ac - 3bc - 9ab + 6a²) unit.

length of rectangular field = (c + 3a)

we have to find breadth.

we know, area of rectangle = length × breadth

⇒(2ac - 3bc - 9ab + 6a²) = (c + 3a) × breadth

⇒2ac + 6a² - 3b(c + 3a) = (c + 3a) × breadth

⇒2a(c + 3a) - 3b(c + 3a) = (c + 3a) × breadth

⇒(2a - 3b)(c + 3a) = (c + 3a) × breadth

⇒breadth = (2a - 3b)

hence, breadth of rectangular field is (2a - 3b)

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Answer 2

The breadth of a rectangular field(B)  =(2a - 3b)  units

Step-by-step explanation:

Given,

The area of a rectangular field  $=2ac-3bc-9ab+6a^2$ square units and

The length of a rectangular field(l) = (c+3a) units

To find, the breadth of a rectangular field(B) = ?

We know that,

The area of rectangle = l × B

⇒  $(c+3a)\times B=2ac-3bc-9ab+6a^2$

⇒ $(c+3a)\times B=2a(c+3a)-3b(c+3a)$

⇒ $(c+3a)\times B=(c+3a)(2a-3b)$

⇒ B  =(2a - 3b) units

∴ The breadth of a rectangular field(B)  = (2a - 3b) units

Hence, the breadth of a rectangular field(B) =(2a - 3b) units