Question

The area of a garden is given by the trinomial of g2-2g-24.the garden's length is g+4. what is the garden's width

Answer 1

The width of the garden is g-6

Answer 2

Answer:

width of the garden's is, g-6  unit

Step-by-step explanation:

Area of rectangle(A) is given by:

$A = lw$

where

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The area of a garden is given by the trinomial of $g^2-2g-24$ and the garden's length is g+4

⇒$A = g^2-2g-24$ square units and $l = g+4$ units

Factorize $g^2-2g-24$

$g^2-6g+4g-24 = g(g-6)+g(g-6)$

⇒$(g+4)(g-6)$

⇒A = $g^2-2g-24=(g+4)(g-6)$

Substitute these in [1] we have;

$(g+4)(g-6)=(g+4) \cdot w$

Divide both sides by g+4 we have;

⇒$g-6 = w$

Therefore, the width of the garden's is, g-6 unit