Example 3: The length of each side of square A is 4 cm. The perimeter of square B is twice the perimeter of square A. Find the length of each side of square B.
Length of each side of square A = 4 cm
Perimeter of square A = 4 + 4 + 4 + 4 = 16 cm
Perimeter of square B = 2 × perimeter of square A = 2 × 16 = 32 cm
Perimeter of square B = side + side + side + side
So, 32 cm ÷ 4 = 8 cm
Therefore, each side of square B is 8 cm.
Answer (2)
The length of each side of square B is calculated to be 8 cm. This is found by first determining the perimeter of square A, which is 16 cm, and then doubling that value for square B to get 32 cm. Finally, dividing the perimeter of square B by 4 gives the length of one side as 8 cm.
;
To solve this problem, we start by understanding the properties of a square and its perimeter.
Understanding Square A:
A square is a shape where all four sides are equal in length.
The length of each side of Square A is given as 4 cm.
To find the perimeter of a square, we add up all the sides, or simply multiply one side by 4: Perimeter of Square A = 4 × 4 = 16 cm
Understanding Square B:
We are told that the perimeter of Square B is twice the perimeter of Square A. So, we need to multiply the perimeter of Square A by 2 to find the perimeter of Square B: Perimeter of Square B = 2 × 16 = 32 cm
Again, to find the length of each side of Square B, we divide the total perimeter by 4, since a square has four equal sides: Length of each side of Square B = 4 32 = 8 cm
Therefore, each side of Square B is 8 cm long. This step-by-step approach helps us understand how the properties of a square and basic arithmetic operations can be used to solve problems related to geometry.
