Question

Do the following blankets have the same perimeter, area, or both?3 m4 m3 m2 mChoose 1 answerSame area onlyBSame perimeter onlySame area and perimeter

Answer 1

The blue diagram on the left is a square of side 3 m, and the green diagram on the right is a rectangle of length 2 m and width 4 m.

The area of the blue square is calculated as,

`\begin{gathered} Area\text{ }of\text{ }Square=side^2 \\ Area\text{ }of\text{ }Square=3^2 \\ Area\text{ }of\text{ }Square=9 \end{gathered}`

The perimeter of the blue square is calculated as,

`\begin{gathered} Perimeter\text{ }of\text{ }Square=4\cdot side^{} \\ Perimeter\text{ }of\text{ }Square=4\cdot(3) \\ Perimeter\text{ }of\text{ }Square=12 \end{gathered}`

The area of the green rectangle is calculated as,

`\begin{gathered} Area\text{ }of\text{ }ectangle=length\cdot wi\differentialDt th \\ Area\text{ }of\text{ }rectangle=2\cdot4 \\ Area\text{ }of\text{ }rectangle=8 \end{gathered}`

The perimeter of the blue square is calculated as,

`\begin{gathered} Perimeter\text{ }of\text{ R}ectangle=2\cdot(length+width) \\ Perimeter\text{ }of\text{ R}ectangle=2\cdot(2+4) \\ Perimeter\text{ }of\text{ R}ectangle=2\cdot6 \\ Perimeter\text{ }of\text{ R}ectangle=12 \end{gathered}`

Comparing the values, it can be concluded that the square has larger area and the perimeter of both the figures is same.

Therefore, option B is the correct choice.