Concept explainers
(a)
Write an equation to show the perimeter of the square and the
(a)
Answer to Problem 52PFA
Explanation of Solution
Given:
The figure of square with side
Condition given: both the figure have same perimeter.
Concept Used:
Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.
Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.
Calculation:
Perimeter of Square =
Perimeter of Equilateral Triangle =
According to the condition both the perimeters are same.
Perimeter of Square = Perimeter of Equilateral Triangle
Equation:
Thus, the required equation is
(b)
Write all the steps with explanation while solving the equation.
(b)
Answer to Problem 52PFA
Explanation of Solution
Given:
The figure of square with side
Condition given: both the figure have same perimeter.
Concept Used:
Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.
Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.
Calculation:
Perimeter of Square =
Perimeter of Equilateral Triangle =
According to the condition both the perimeters are same.
Perimeter of Square = Perimeter of Equilateral Triangle
Equation:
Thus, the solution of the equation
(c)
Find the length of the side of the square.
(c)
Answer to Problem 52PFA
Explanation of Solution
Given:
The figure of square with side
Condition given: both the figure have same perimeter.
Concept Used:
Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.
Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.
Calculation:
The side of the square:
Thus, the length of the side of the square is
(d)
Find the length of the side of the Triangle.
(d)
Answer to Problem 52PFA
Explanation of Solution
Given:
The figure of square with side
Condition given: both the figure have same perimeter.
Concept Used:
Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.
Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.
Calculation:
Length of the side of the Triangle:
Thus, the length of the side of the Triangle is
(e)
Find the area of the square.
(e)
Answer to Problem 52PFA
Explanation of Solution
Given:
The figure of square with side
Concept Used:
Square is having all 4 sides are equal
Area of the square is side times side:
Calculation:
The length of the side of the square is
Area of the square =
Thus, the area of the square is
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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