Question

the length of a rectangle is twice its breadth and the perimeter is 42 CM the area of the rectangle

Answer 1

Given,

The length of a rectangle is twice its breadth.

The perimeter of the rectangle = 42 cm.

To find,

The area of the given rectangle.

Solution,

Let, the breadth of the rectangle = x cm

(Assume x as a variable to do the further mathematical calculations.)

Length of the rectangle = 2x cm

Perimeter of the rectangle = 2× (x+2x) = 6x cm

According to the data mentioned in the question,

6x = 42

x = 7

Breadth of the given rectangle = 7 cm

Length of the given rectangle = 7×2 = 14 cm

Area of the given rectangle = 14×7 = 98 cm²

Hence, the area of the rectangle is 98 cm².