Question

3. Two rectangular fields have the same
perimeter. One is a square of side 60 m, the
other is a rectangle of length 7 dam. Which
field has the larger area and by how many
ares (a) ?​

Answer 1

It is given that the fields have the same perimeter.

Now one field is square and another is rectangular.

side of square = 60 m

Length of rectangle = 7 m

Here breadth of the rectangle is not given

• So, we will first find out the breadth

In order to find out the breadth we will equalize perimeter of square and rectangle.

Perimeter of square = Perimeter of rectangle

                4 × 60  = 2( 7 + BREADTH)

                       240 =   2( 7 + BREADTH)

                         120 = ( 7 + BREADTH)

                          120 - 7 = BREADTH

                           BREADTH = 113

• Now we have to find out which field has a greater area

area of square field = 60  ×  60

                                 = 3600 m²

Area of rectangular field = 7  × 113

                                        = 791 m²

3600 - 791 = 2809

Clearly, the area of the square field is greater than the rectangular field by 2809 m².