Solve the following questions:
a) A rectangle is constructed using 6 squares, each having a side equal to x m, as
shown in Fig. 2. Write an algebraic expression for the area and the perimeter of th
rectangle.
x m
Answers
Given : A rectangle is constructed using 6 squares ach having a side equal to x
To Find : an algebraic expression for the area and the perimeter of the
rectangle.
Solution:
Rectangle using 6 squares can be formed in 2 ways
1 * 6 or 2 * 3
As figure is missing
Hence solving for both case
Case 1
1 * 6
Length = 6x
Width = x
Area = 6x.x = 6x²
Perimeter = 2(x + 6x) = 14x
Case 2
2 * 3
Length = 3x
Width = 2x
Area = 3x.2x = 6x²
Perimeter = 2(3x + 2x) = 10x
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