Question

Jose is making a mini Garden at their backyard with an area of 25m².if the length is 5 meter longer than its width,what equation defines the area of the mini garden ​?

Answer 1

Define the width as 'w' meters, so the length is 'w + 5' meters. To represent the area of 25m², the equation w(w + 5) = 25 models the relationship between the dimensions of the mini garden.

Step-by-step explanation:

Jose is creating a mini garden with an area of 25m². If the length is 5 meters longer than its width, we can define the width as w meters. The length would then be w + 5 meters. According to the area formula for a rectangle, which is length × width, the equation that defines the area of the mini garden is:

w × (w + 5) = 25

Breaking this down:

• First, multiply the width w by the length w + 5.
• Then, set this product equal to 25 because the area of the garden is given as 25m².
• Finally, we end up with a quadratic equation that represents the area.

This is a standard word problem in algebra involving quadratic equations, where one variable is defined in terms of another and related to a specific area.