
Concept explainers
(a)
To draw:The shape of the rectangle and isosceles
(a)

Explanation of Solution
Given information:
The length of a rectangle is
Shape:
Assume that width of rectangle is
Figure(1)
The picture of isosceles triangle is shown below:
Figure(2)
(b)
To find:The expressions for the perimeters of rectangle and isosceles triangle.
(b)

Answer to Problem 61PPS
The expressions for the perimeters of rectangle and isosceles triangle are
Explanation of Solution
Given information:
The length of a rectangle is
Calculation:
The perimeter of any figure is the sum of the length of sides of the figure.
The length and breadth of rectangle are
The perimeter of the rectangle is
The perimeter of the triangle is
Therefore, the expressions for the perimeters of rectangle and isosceles triangle are
(c)
To find:The width of rectangle when perimeter of both the figures are equal.
(c)

Answer to Problem 61PPS
The width of the rectangle is
Explanation of Solution
Given information:
The length of a rectangle is
Calculation:
As calculated in part(a), the perimeter of the rectangle is
As given perimeter of both the figures is equal.
Therefore, the width of the rectangle is
Chapter 1 Solutions
Algebra 1
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