Verified Answer :

Area of the square = side x side
Area of the square = 7cm x 7cm = 49cm

Area of the rectangle = Area of the square x 2
Area of the rectangle = 98cm

\(\fbox{\large\sf{ Question}}\)

Area of a rectangle is twice the area of a square. The side of a square is 7 cm , find the area of the rectangle

\(\fbox {\large\sf{Given} }\)

  • Area of a rectangle is twice the area of a square.
  • The side of a square is 7 cm

\(\fbox{\large \sf{ Need to find}}\)

  • Area of the rectangle

\(\fbox{\large \sf{Solution}}\)

It is given that the area of the rectangle is twice than the area of a square so first we will calculate the area of the square.

We know,

\(❒ \: \boxed{\large\rm{ Area_{(square)} = Side × Side }}\)

Substituting the value of side = 7 cm in the formula

\(\large\sf{ Area_{(square)} = (7 × 7) {cm}^{2}} = 49 {cm}^{2}\)

Now we will calculate the area of the rectangle

Area of a square = 49 cm²

Area of a rectangle is twice the area of a square.

\(\large\rm Area_{(rectangle)}(2 × 49) {cm} ^{2} = 98 {cm}^{2}\)

\(\rule{59mm}{2pt}\)

\(\large\rm Final \: Answer\)

  • Area of the rectangle = 98 cm²