Question

the square and the rectangle have the dimensions shown. 8 cm 8 cm 4 cm 12 cm what description is true about the figures? a. same area, same perimeter b. same area, different perimeter c. different area, same perimeter d. different area, different perimeter

Explanation:

Step1: Calculate square's area

The area formula for a square is $A = s^2$, where $s$ is the side - length. For a square with $s = 8$ cm, $A_{square}=8\times8 = 64$ $cm^2$.

Step2: Calculate square's perimeter

The perimeter formula for a square is $P = 4s$. For a square with $s = 8$ cm, $P_{square}=4\times8=32$ cm.

Step3: Calculate rectangle's area

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. For a rectangle with $l = 12$ cm and $w = 4$ cm, $A_{rectangle}=12\times4 = 48$ $cm^2$.

Step4: Calculate rectangle's perimeter

The perimeter formula for a rectangle is $P=2(l + w)$. For a rectangle with $l = 12$ cm and $w = 4$ cm, $P_{rectangle}=2\times(12 + 4)=2\times16 = 32$ cm.

Answer:

B. same perimeter, different area