SSG Officers plan to make a square board decoration for the new school year 2021-2022. They can make boards with an area of at least 49 square meters. What are the measurements of the sides that they can consider in making their decoration board?
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Area of Plane Figure
The given problem is an application of solving area of the plane figure in real life situation. You will apply your basic knowledge in mathematics and geometry especially in solving area of plane figure and how many items can be occupied in the space provided presented in algebraic expression. Also solving dimensions through algebraic expression or equation.
The given problem is "SSG Officers plan to make a square board decoration for the new school year 2021-2022. They can make boards with an area of at least 49 square meters. What are the measurements of the sides that they can consider in making their decoration board?".
Step-by-step Solution and Discussion
In mathematics, solving area of plane figure is commonly used in architectural and construction industry including floor covering, such as carpets and tiles. Calculation of dimensions and area measurements applied in wallpaper and paint. Solving area also applied in industry including machineries, clothing and other items that used length and width of the figure.
How to find the area of a square? Area of a square is the space occupied by the shape express in square units. Finding area is the of the product of length and width (A = lw), since all sides for square are equal, the area is expressed into A = s².
Step 1: Identify all the given in the problem
area of at least 49 square meters
Step 2: Identify what is being ask
What are the measurements of the sides that they can consider in making their decoration board?
Step 3: Solve for area
Use the formula A = s², where A ≤ 49 m²
A ≤ 49 m² → A = 49 m²
s² = 49 m²
s = ✓49
s = 7 meters
The condition is atleast 49 square meters, thus the side of the square is atleast 7 meters.
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