Question

1. one side of the flower garden is 3 times as long as the other. what are the dimensions of the flower garden? area = 48 sq m

Explanation:

Step1: Define variables for sides

Let the shorter side be $x$ m. The longer side is $3x$ m.

Step2: Set up area equation

Area of rectangle: $\text{Length} \times \text{Width} = 48$
$3x \times x = 48$
$3x^2 = 48$

Step3: Solve for $x$

Divide both sides by 3:
$x^2 = \frac{48}{3} = 16$
Take square root:
$x = \sqrt{16} = 4$

Step4: Find both dimensions

Shorter side: $x = 4$ m
Longer side: $3x = 3 \times 4 = 12$ m

Answer:

The dimensions of the flower garden are 4 meters and 12 meters.