Question

The perimeter of a square is 68m. The perimeter of a rectangle is double the perimeter of a square. The width of a rectangle is 10m more than the side of the square. The difference of area(in m square) of rectangle and square is

Answer 1

Answer:

The difference of area of rectangle and square =786 m²

Step-by-step explanation:

The perimeter of a square is 68 m

so side of square a =68/4 = 17 m

Now perimeter of the rectangle =2*68=136 m

Now the width of the rectangle is 10 m more than the side of the square

so width b=17+8=25 m

perimeter 2(a+b)=136

2(a+25) = 136

a+25=68

a=68-25=43 m

so area of rectangle=a*b=25*43=1075 m²

area of the square=17*17=289 m²

The difference of area of rectangle and square is

=1075-289

=786 m²

Answer 2

Answer:

The difference of area of rectangle and square =818 m²

Step-by-step explanation:

The perimeter of a square is 68 m

so side of square a =68/4 = 17 m

Now perimeter of the rectangle =2*68=136 m

Now the width of the rectangle is 10 m more than the side of the square

so width b=17+10=27 m

perimeter 2(a+b)=136

2(a+27) = 136

a+27=68

a=68-27=41 m

so area of rectangle=a*b=27*41=1107 m²

area of the square=17*17=289 m²

The difference of area of rectangle and square is

=1107-289

=818 m²