Question

alice plants carrots in a rectangular garden bed. the garden bed has a width of 1.5 meters and an area of 6 square meters. which equation and solution correctly represent x, the length, in meters, of the rectangular garden bed? carrots 1.5 m area = 6 m² x 1.5x = 6 x = 4 x + 1.5 = 6 x = 4.5 1.5 + 6 = x x = 7.5 1.5 × 6 = x x = 9

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = lw$, where $A$ is area, $l$ is length and $w$ is width. Here, $A = 6$, $w=1.5$ and $l = x$. So the equation is $1.5x=6$.

Step2: Solve the equation for $x$

Divide both sides of the equation $1.5x = 6$ by $1.5$. We get $x=\frac{6}{1.5}=4$.

Answer:

$1.5x = 6$, $x = 4$