Question

A farmer has a rectangular field whose area is given by x3 - 3x2 -4x + 12. Find the expression for length and breadth of such a field

Answer 1

Answer:

(a) f(x) = x3 − 3x2 + 20 on the interval [−1,3]. ... Find the vertices of the rectangle with maximum area. 7. ... to fence an area of 1.5 million square feet in a rectangular field and then divided

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Answer 2

Answer:

The expression for length of the field is (x² - 4) and for breadth is (x - 3) or the expressions for length and breadth are ⠀ (x - 3) and(x² - 4) respectively.

Given:

A farmer has a rectangular field, whose area is given by x³ - 3x² - 4x + 12.

To find:

• The expression for length and breadth.

Solution:

Area of the rectangular field is given by

expression x³ - 3x² - 4x + 12.

$\sf{Area=Length\times \ Breadth}$

$\sf{\therefore}$ Area of field = x³ - 3x² - 4x + 12

$\sf{\therefore}$ Area of field = x² (x - 3) - 4 (x - 3)

$\sf{\therefore}$ Area of field = (x² - 4) (x - 3)

Therefore, expression for length of the field is (x² - 4) and for breadth is (x - 3) or the expressions for length and breadth are (x - 3) and(x² - 4) respectively.